Question

Select the correct answer. What is the solution to this system of equations? x = 12 − y 2x + 3y = 29 A. x = 8, y = 4 B. x = 6, y = 6 C. x = 7, y = 5 D. x = 9, y = 3

Answer 1

Answer:

x=7,y=5

C. x = 7, y = 5

Step-by-step explanation:

x = 12-y

2x+ 3y = 29

substitute x= 12-y

2 (12-y) + 3y = 29

distribute

24 - 2y + 3y = 29

combine like terms

24 + y = 29

subtract 24 from each side

24-24 +y = 29-24

y = 5

now find x

x=12-y

x = 12-5

x=7

(7,5)

Answer 2

Answer:

Step-by-step explanation:

The answer is C.  :)