Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

Answers

Answer 1

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]


Related Questions

write 65% as term fraction in its lowest a​

Answers

Answer:

13/20

Step-by-step explanation:

65% = 65/100 = 13/20

Hoped this helped.

Answer:

13/20

Step-by-step explanation:

You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.

Answers

Answer:

buuuuuuuuuuut butt

Step-by-step explanation:

PLEASE HELP ME ASAP
NO LINKS

Answers

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?​

Answers

Answer:

He needs 132

Step-by-step explanation:

hope it helps

fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Answer:

Missing reasons are:

2. Reflexive3. Given4. Given5. Definition of bisects6. Third angle theorem7. ASA

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.

Answers

Answer:

d

Step-by-step explanation:

Answer:

Hint #33 / 3

The equation is y=\dfrac{1}{2}x -2y=

2

1

x−2y, equals, start fraction, 1, divided by, 2, end fraction, x, minus, 2.

Step-by-step explanation:on kan

The width of a rectangle is 3 inches less than its length. The perimeter is equal to 94 inches, what is the length in inches?

Answers

Answer:

l=44in

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=94

2﹣3=44in

if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total

Answers

Answer:

gas barrels = 20,400,000

diesel barrels = 17,400,000

other barrels =  22,200,000

Step-by-step explanation:

Total barrels = 60,000,000

gas = 34%   of the barrels

diesel = 29% of the barrels

others = 37% of the barrels     100% - 34% - 29% = 37%

How many of each type of barrels?

60,000,000 ×  34% = gas barrels ;   60,000,000 × .34 = 20,400,000

60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000

60,000,000 × 37% = other barrels;   60,000,000 × .37 = 22,200,000

 Check: Total  barrels  60,000,000                                 = 60,000,000                                    

Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1

Answers

Answer:

84

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

Find the measure of angle x in the figure

Answers

Step-by-step explanation:

apply angle sum property of triangle in ∆BCA

now,

x + x + 110° = 180

2x = 180 - 110 = 70

x = 70/2 = 35

x = 35°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

39.2 is 95 percent of what?

Answers

267 is what the answer is sorry if it’s wrong

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.

someone help please

Answers

Answer:

6 is the Value of the Expression.

Step-by-step explanation:

4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2 * ( 7²) + 40 =

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

Hopefully this helps.

4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
rate range

Answers

200- your age = your target heart rate.

Hence, for a 40 year old man, it’s 200-40= 160.

Hope this helps!

PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE

Answers

Answer: [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

- t / u + vw   (plug the number in)

= - 2 / (-2/3) + (-1)(-1/3)

= 2/ (2/3) + 1/3

= 2(3/2) + 1/3  (the 2 were being cancel)

= 3 + 1/3

= [tex]3\frac{1}{3}[/tex]

Answer:

A. 3 1/3

Step-by-step explanation:

Given:

t = 2, u = -2/3, v = - 1, w = - 1/3

Find:

- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3

Correct choice is A

Complete the multiplication: AB.

Answers

Answer:

Option: B is the correct

Step-by-step explanation:

Step-by-step explanation:

We are given two matrices A and B as follows:

\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}

A=[

3

2

0

−1

]

and

\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}

B=[

2

0.6

8

3

]

We know that the multiplication of two matrices of the type:

\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}

A=[

a

c

b

d

]

and

\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}

B=[

a

c

b

d

]

is given by:

\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}

AB=[

aa

+bc

ca

+dc

ab

+bd

cb

+dd

]

Hence, here we have:

\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}

AB=[

3×2+0×0.6

2×2+(−1)×0.6

3×8+0×3

2×8+(−1)×3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}

AB=[

6+0

4−0.6

24+0

16−3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}

AB=[

6

3.4

24

13

]

El siguiente cuerpo es CUARTA PARTE de un cilindro. ¿Cuál es el volumen? r = 6 cm; h = 9 cm

Answers

Answer:

es 54 espero que esto ayude adiós!

Step-by-step explanation:

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.

El volumen de un cilindro es:

Volumen = πr²h

Given that: r = 6 cm; h = 9 cm;

Volumen = πr²h = π(6)²(9) = 1018 cm³

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

find out more at: https://brainly.com/question/1617707

find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100

Answers

Answer:

S=2+4+6+…+100

S=100+98+96+…+2

Adding the two yields

2S=102+102+102+…+102 = 50(102)

Thus S=50(51)=2550

What sentence represents this equation?

912=15−x


912 ​is the same as a number decreased by 15.

912 is the same as 15 decreased by a number.

15 decreased by 912 is the same as a number.

A number is the same as the difference of 15 and 912.

Answers

The sentence representing the equation is 912 is the same as 15 decreased by a number.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ2

Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?

Answers

Answer:

2:5

Step-by-step explanation:

2 cats per 5 dogs

Nadia charges $6.00 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.


Suppose Nadia raises her rate by $0.60 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?


Complete the explanation and give your answer.

Answers

Answer:

35 hours

Step-by-step explanation:

She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.

Answer:

35 hours

Step-by-step explanation:

In the first month she worked for 38.5 hours

Multiply that by $6 and we that she made 231 dollars

231 divided by here new rate of $6.60 would be 35 hours

Please mark brainliest

Please help, thank you in advance​

Answers

Answer:

Solution

9

1

3

6

Step-by-step explanation:

Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.

Answers

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

This question: 1p
Find the surface area of the prism.

Answers

Answer:

Step-by-step explanation:

Which conditional statement is always logically equivalent to the inverse?


Converse

Conditional

Conjecture

Contrapositive

Answers

Answer:

Converse

Step-by-step explanation:

Converse

Ghhhhhhhnbb tggy

If a company had a gain of 800$ in March , but in April and May , it had a loss of $400 and 900$ respectively , how mich profit or loss did the company have in three months .
Please answer quickly ,.I will mark you as brainlist ... In Hurry Plz

Answers

500 is the answer
500

Answer:

-500

Step-by-step explanation:

i knew the answer

have a great day ;)

write down three integers below 25 with the range of 10 and the mean of 13

Answers

Answer:

8, 13, 18

Step-by-step explanation:

Middle number is 13, there are only 3

Max is 10/2 more so 18

Min is 18-10

Is the equation y + 1 = 5(x + 3) in point-slope form? Justify your answer.

Answers

Answer:

The given equation is in point-slope form. The slope is 5 and is seen on the right side before the parentheses. The point is (-3, -1).

Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

The equation y + 1 = 5(x  + 3) is in point slope form. Point slope form is y - y1 = m(x - x1). In the given equation the point would be (-3, -1) with a slope of 5.

Solve the system of equations by elimination:
3x+y=5
2x-2y=-2

NO LINKS PLEASE

Answers

First divide both sides of 2x-2y=-2 by 2 to get x-y=-1. Now, you can simply add the equations together and you’d get 4x=4. Divide both sides by 4 to get x = 1. Then, plug in the 1 to one of the original equation (I used 2x-2y=-2):
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2

So x = 1 and y = 2! :) hope this helps

Answer: (1, 2)

             x = 1  and y = 2

Step-by-step explanation:

3x + y = 5  Multiply this equation by 2   =>    6x + 2y = 10

2x -2y = -2                                               =>  + 2x - 2y = -2

                                                                       8x         = 8

                    **divide both sides by 8 =>         x  =  1

                   *** substitute 1 for x in either equation to get y

                                   

                     3(1) + y = 5

                    -3             -3

                             y = 2

                                                       

Which slope is perpendicular to slope m= 5/6

Answers

Answer:

-6/5

Step-by-step explanation:

The slope of perpendicular lines multiply to -1

5/6 * p = -1

Multiply each side by 6/5

6/5 * 5/6 * p = -1 * 6/5

p = -6/5

The slope of the perpendicular line is -6/5

8) What are the measures of angles x, y, and z?

Answers

Step-by-step explanation:

y=55°(corresponding angles are equal)

x=55°(alternate angles are equal).

z+55°=180°

=180-55=z

z=125°

Answer:

x = y = z = 55°

Step-by-step explanation:

x = 55° (vertical angles)

y = 55° (corresponding angles)

z = 55° (corresponding with x -> z = x)

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