Use substitution to solve the following system of equations.
x + 4y = 8
2x - 5y = 29
I

Answers

Answer 1

Answer:

(12, - 1 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 8 → (1)

2x - 5y = 29 → (2)

Rearrange (1), expressing x in terms of y by subtracting 4y from both sides

x = 8 - 4y → (3)

Substitute x = 8 - 4y into (2)

2(8 - 4y) - 5y = 29 ← distribute and simplify left side

16 - 8y - 5y = 29

16 - 13y = 29 ( subtract 16 from both sides )

- 13y = 13 ( divide both sides by - 13 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 8 - 4(- 1) = 8 + 4 = 12

solution is (12, - 1 )

Answer 2

[tex]x = 8 - 4y \: \: eqn \: 1[/tex]

now in eqn 2

[tex]2(8 - 4y) - 5y = 29[/tex]

[tex]16 - 8y - 5y = 29[/tex]

[tex]16 - 13y = 29[/tex]

[tex]16 - 29 = 13y[/tex]

[tex]13 = 13y[/tex]

[tex] \frac{13}{13} = y[/tex]

[tex]y = 1[/tex]

Now in eqn 1

[tex]x = 8 - 4y[/tex]

[tex]x = 8 - 4 \times 1[/tex]

[tex]x = 8 - 4[/tex]

[tex]x = 4[/tex]

therefore x=4 & y=1 answer


Related Questions

are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10

Answers

These numbers are linear

For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90

Answers

Answer:

38

Step-by-step explanation:

128 + angle G= 180

angle G = 180-128= 52

m+ 52 = 90 ( complementary angles)

m= 90-52= 38

PLS NEED HELP DON'T UNDERSTAND ONE PART

Answers

Answer:

Step-by-step explanation:

Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Answer = 1800 degrees

Hope that helps!

Answer: .

Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.

A school has 300 students.If the ratio of boys to girls is 31 to 44, how many more girls are there in the school?

Answers

Answer:

there would be 52 more girls I think

Step-by-step explanation:

let x = multiplier then

31x =number of boys

44x = number of girls

Boys + girls = 300

44x + 31x =300

75x = 300

x = 300/75

x = 4 is the multiplier

therefore:

44*4 = 176 girls

31*4 = 124 boys

dif = 52 more girls than boys

hope this helped :)

Make t the subject of the formula.

Please help.

Answers

Answer:

[tex]t = \frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

[tex]q = \frac{2-4t}{t+3}\\\\[/tex]

Cross multiply,

q(t+3) = 2 - 4t        

Use distributive property: a*(b + c) =(a*b) + (a*c)

qt + 3q = 2- 4t

qt + 4t + 3q = 2

  qt + 4t     = 2 - 3q

    t(q + 4)  = 2 -3q

               [tex]t = \frac{2-3q}{q+4}[/tex]

55 x 32 / 32
HELPPP GIVING BRAINLIEST

Answers

Answer:

55

Step-by-step explanation:

Just multiply then divide:

55 x 32 = 1760

1760 ÷ 32 = 55

Or just easier like:

55 x 32 ÷ 32 = 55

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Find the side length of a square with
area 16/49 square inches.

Answers

Each side of a square is the same, so the area of a square is one side times another of the same length. In other words it's side x side or side2

This is where we get the term "square root".

s2 = 49
take the square root of each side
s = 7

The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]

Given the following data:

Area of a square = [tex]\frac{16}{49}[/tex] square inches.

To determine the side length of this square:

In this exercise, you're required to solve for the length of the sides of a square that has an area of  [tex]\frac{16}{49}[/tex] square inches.

Formula for the area of a square.

Mathematically, the area of a square is calculated by using the formula;

[tex]A=S^2[/tex]

Where;

S is the length of each sides of a square.

Substituting the value into the formula, we have;

[tex]\frac{16}{49}=S^2[/tex]

Taking the square root of both sides, we have;

[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]

Read more on area of a square here: https://brainly.com/question/16758129

'Five times a number minus eight is 17.5.

Answers

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

so do 17.5 + 8 then divide by 5 to get 5.1

i hope this helps :)

What is the remainder when p(x) is divided by (x+1)

Answers

Step-by-step explanation:

WHEN A POLYNOMIAL P(X) IS DIVIDED BY (X+1), THEN THE REMAINDER WILL BE 3.

Answer:

3

Step-by-step explanation:

What is the total area of the desk in square feet?

Answers

Answer:

64ft

Step-by-step explanation:

help asap
Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

just multiply all the sides

Step-by-step explanation:

Answer:

i just need the point thank you

Step-by-step explanation:

graph the solution to this inequality on the number line. -4x+7>x-13

Answers

Answer:

the solution is x<4 (color green)

Step-by-step explanation:

hello :

draw the graph for the line : y= x-13 ( color bleu)

draw the graph for the line : y= -4x+7 ( color red)

the solution is x<4 (color green)

The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.​

Answers

a is 23.4 and b should be k point at 26

calculate the rate of change

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Find the area of the image

Answers

Answer:

I think the answer is 4/3

Step-by-step explanation:

I just substitute

Area =length x width

Area=3X^2-4X(4X^2+5X)

12X^4+15X^3-16X^3-20X^2

12X^4-X^3-20X^2

X^2(12X^2-X-20)

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

15.00 + 1.75x > 7.50 + 2.25

Answers

Answer:

Step-by-step explanation:

Gabriela walked to school on 16 of the 24 school days in March. Which value is equivalent to the fraction of the school days in March that Gabriela walked to school? If you do have the answer please put it in with the question so I can see it thank you so much

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction = [tex]\frac{4}{5}[/tex]

4 is the numerator while 5 is the denominator

In this question, the numerator would be the number of times she walked to school in march(16). While the denominator would be the number of school days in March

[tex]\frac{16}{24}[/tex]

the above fraction is not in its simplest form. To express in its simplest form, divide both numerator and the denominator by 8 . this gives

[tex]\frac{2}{3}[/tex]

In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated by 9%. How much would the car be worth in the year 2010, to the nearest hundred dollars?

Answers

Answer:

17155

Step-by-step explanation:

23500-27%-17155

To the nearest hundred: 17200.

Solve: 6 divided by 1/6

Answers

Answer:

0.1 I think

Step-by-step explanation:

Please help me ASAP

Answers

Answer:

b

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

The perimeter of an equilateral triangle is 6x - 24. Which expression represents the length of one side?

Answers

Answer:

side = 2x - 8

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

The perimeter is 3 times one side

In this case P = 6x - 24

Side = p/3 = (6x - 24)/3

Side = 2x - 8

4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!

Answers

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

Hiiiooo! Can someone please help out❤️❤️❤️❤️:D

Answers

Answer:

x = 14.6

Step-by-step explanation:

hopes this helps

find the value of a,b,y, and z

Answers

Answer:

^ACD= 90+60+x=180

^ACD=150+x=180

^ACD=x=30.

^DCB=60.

^CDB=90

tan = opposite/ adjacent

tan 60 = 8/a

a = 8/tan 60

a = 4.61880....

a = 4.6 cm (nearest tenth)



sin = opposite/ hypotenuse

sin 60 = 8/y

y = 8/sin 60

y = 9.2376.....

y = 9.2 cm (nearest tenth)



tan 30 = 8/b

b = 8/tan 30

b = 13.8564......

b = 13.9 cm (nearest tenth)



sin 30 = 8/x

x = 8/sin 30

x = 16 cm

I only need b par plz ฅ^•ﻌ•^ฅ

Answers

Line 1 slope=0.25
Line 2 slope = -4
Line 3 slope = -1/3
Line 1 and 2 are perpendicular, the rest are neither

Find the 11th term of the geometric sequence 6, -18,54, ...

Answers

a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

451054547.5

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it

plz help me asap I need help 1k point ​

Answers

Answer:

y=27

Step-by-step explanation:

Hello There!

The shown angles are alternate exterior angles

Alternate exterior angles are congruent so

3y+53=7y-55

step 1 add 55 to each side

-55+55 cancels out

53+55=108

now we have

3y+108=7y

step 2 subtract 3y from each side

7y-3y=4y

now we have

4y=108

step 3 divide each side by 4

4/4y=y

108/4=27

we're left with y = 27

Answer:

y = 27

Step-by-step explanation:

The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.

7y - 55 = 3y + 53

4y = 108

y = 27

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!

Answers

Answer:

No, no, yes, yes

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

no as variable has positive coefficient

b/6 ≤ 7 ⇒ b ≤ 42

no as variable has positive coefficient

–4.5c > 9 ⇒ c < - 2

yes as variable has negative coefficient

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

yes as variable has negative coefficient
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