solve the system of linear equations by substitution

Solve The System Of Linear Equations By Substitution

Answers

Answer 1

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).  

Solve The System Of Linear Equations By Substitution
Answer 2

Answer:

Value of x is -4 Value of y is 5

Step-by-step explanation:

Refer the attachment.

Solve The System Of Linear Equations By Substitution

Related Questions

How you use the Pythagorean theorem in 3D.

Answers

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

PLZZZZ HAAALLLPPPP!!!!!

Answers

Answer:

0

Step-by-step explanation:

-9x -3(2) = 6

-9x + 6 = 6

-9x + 6 -6 = 6-6

-9x/ -9= 0/-9

x=0

I’ll make brainliest

Answers

answer: 13.5647
explanation: using the pythagorean theorem

Answer:

54

Step-by-step explanation:

A 90 degree triangle will seperate into three sides equalling 90 degrees.

90          75

-25         -21

= 75       =54

The third side is 54 degrees, I believe. Haven't done this in a while so I apologize if I made any mistakes.

A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel

Answers

Answer:

[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]

Step-by-step explanation:

Let's create a proportion using this setup.

[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]

We know that 25 liters are used for 355 kilometers.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]

We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]

[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]

Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]25*x=42*355[/tex]

[tex]25x=14910[/tex]

Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.

[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]

[tex]x=596.4[/tex]

The car can travel 596.4 kilometers with 42 liters of fuel.


Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?

Answers

36 minus 21 equal 15

Please answer and show work

Answers

Answer:

Answer and steps are in picture.

Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?

Answers

Answer:

8/13 cups of sugar

Step-by-step explanation:

Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?

For the above question

1 batch of chocolate chips cookies = 2/13 cups of sugar

4 batches = x

Cross Multiply

x = 4 × 2/13 cups of sugar

x = 8/13 cups of sugar

Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

positive correlation.

negative correlation.

none of these.

no correlation.

Answers

No correlation = scattered randomly on a pilot graph

During a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 2 hours. What value represents the change in the temperature of the container each hour?Thank you​

Answers

Answer:

general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.

Step-by-step explanation:

The side length of a square is 4 inches. Find the perimeter of the square. HELP PLEASE!

Answers

Answer:

16 in

Step-by-step explanation:

4 +4+4+4 = 16

Answer:

16

Step-by-step explanation:

since perimeter is the length of all the sides added up, and the sides of a square are all equal, you just add up all the sides!

20 POINTS! Please help!

Find the value of x. Round to the
nearest tenth.

x = [?]

Answers

Answer:

4 hope it helps you better

A ice skater jumped an turned 1 full circle in the air how many one degree angles did she turn through

Answers

Logical answer would be 360. There are 360 degrees in one Full Rotation (one complete circle around).

A stadium has two sections, A and B.
Tickets for Section A costs Sa each.
Tickets for Section B costs $b each.
John paid $105 for 5 Section A tickets and 3 Section B tickets. Rita paid $63 for 4 Section A
tickets and 1 Section B tickets.
ii)
Write 2 equations in a and b to represent the information above.
Calculate the cost of a Section A and Section B ticket using the Elimination / Addition
Method.

Answers

ANSWER: a=12 b=15
Explanation: (look at work below)

4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15

Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.

Answers

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5

WILLL GIVE BRAINLIST!!! Enter the constant proportionality of the equation y=0.25x.

Answers

Answer:

0.25

Step-by-step explanation:

A proportional equation has the form

y = kx ← k is the constant of proportion

y = 0.25x ← is in proportional form

with k = 0.25

Can someone find the area of the kite?

Answers

Answer 40

Step-by-step explanation:

20m

because d1xd2÷2 = 20

Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained

Answers

Answer:

6/10 kg

Step-by-step explanation:

Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained

Hence:

Total kg of salmon = 4/10 + 5/10 + 5/10 + fourth piece

Total kg = 2 kg

Hence,

Fourth piece = 2 kg - ( 4/10 + 5/10 + 5/10) kg

Lowest common denominator = 10

2 kg - (4 + 5 + 5/10)

2kg - (14/10)kg

2 kg - 1 4/10 kg

= 6/10 kg

The weight of the fourth piece =

6/10 kg

Anyone help me with this math question?

Answers

Answer:

i think its c

Step-by-step explanation:

HELP ASAPPPPP NO WRONG ANSWER PLS

Answers

Answer:

40

Step-by-step explanation:

one cubic cm would be 2x2x2=8 half cm³

you have 1x2x2.5 cm cube = 5 cm³

5 x 8 = 40

another way to look at it:

2 1/2 = 5 half-cubes long

2 = 4 half cubes wide

1 = 2 half cubes tall

5 x 4 x 2 = 40

Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.

Answers

I’m guessing b not sure

Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.

Answers

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

45% of 81.2 is a number between
A) 4 and 40
B)40 and 80
C)80 and 320
D)320 and 3600

Answers

Answer:

B, 55.42 (between 40 and 80)

y is less then or equal to 1/2x plus 2

Answers

2

Step-by-step explanation:

I think it 4/2 because I multiplied it

What is the total surface area??? Please help me I’m confused

Answers

Answer:

136+56 ig

Step-by-step explanation:

Write a rule for the geometric sequence with the given description: The first term is −3, and each term is 5 times the previous term. Then, use the rule to solve for the 9th term. All work must be shown.

Answers

Answer: -1171875

Step-by-step explanation:

From the question,

a = first term = -3

r = common ratio = 5

The ninth term will be:

= ar^8

= -3 × 5^8

= -3 × 390625

= -1171875

Therefore, the ninth term is -1171875.

Help please ASAP !!

Answers

Answer:

51.5

Step-by-step explanation:

30 divided by 12 pls hurry

Answers

Answer:

2.5 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

The answer is 2.5 hope this helps

lol I am having an exam ....no but help

.
when arturo makes a muffin recipe there is a priportional relationship between the number of teaspoons of bakin powder and the number of muffin , the table below shows that relationship.what is the constant of proportionality​

Answers

Answer:

3

Step-by-step explanation:

It should be 3 because when you look at it divide them all and each one gives you 3. If it's not then sorry.

No links pls
A colony of termites begins with 25 termites and increases at a rate of 25% per week. The graph models the number of termites after x weeks.

Which interpretation is FALSE?


(A) The y-intercept represents the number of termites originally in the colony


(B) The point (0, 25) contains the y-intercept


(C) The line y=0 is an asymptote of the graph


(D)The point (0, 0) contains the x-intercept

Answers

Answer: D: the point (0,0) contains the x-intercept

Step-by-step explanation:

Answer:

D is the answer for sure took the test got 100%

EMERGENCY HELP PLS: The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height = ? ft.
Distance along the ground ? ft.

Answers

Answer:

1.9 feets (nearest tenth) ;

24.9 feets

Step-by-step explanation:

Given that :

Angle, θ = 4.3°

Length of ramp = 25

Maximum Height, h ;

sinθ = opposite / hypotenus

Sin 4.3 = h / 25

0.0749787 * 25 = h

1.874 feet = h

1.9 feets (nearest tenth)

Distance along the ground the ramp could cover :

Cos θ = Adjacent / hypotenus

Cos 4.3 = x / 25

0.9971851 = x / 25

0.9971851 * 25 = x

x = 24.929

x = 24.9 (nearest tenth)

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