Question

What are the values of x and y in this linear system?
2x + 3y = 8
x + 2y = 12

A)x = 24, y = 8

B) x = 16, y = -20

C) x = -8, y = -16

D) x = -20, y = 16

@kelliegirl33 @L-Lawliet-L

Answer 1

do you prefer elimination or substitution ?

Answer 2

Either or

Answer 3

lets use substitution...it is sometimes easier...
x + 2y = 12
x = -2y + 12
now we sub -2y + 12 in for x in the other equation

2x + 3y = 8
2(-2y + 12) + 3y = 8
-4y + 24 + 3y = 8
-4y + 3y = 8 - 24
-y = - 16
y = 16

now sub 16 in for y
x + 2y = 12
x + 2(16) = 12
x + 32 = 12
x = 12 - 32
x = - 20

answer is D

Answer 4

Thanks, great help! :)