Solve the following system of equations:

x + y = 6

3x + 2y = 8
A. (11, –5)
B. (–2, 8)
C. ( –4, 10)
D. (2, 4)

2 answers

since y = 6-x, use that to get
3x + 2(6-x) = 8
x = -4
Sure looks like C
Multiply first equation by 3

3 x + 3 y = 18

Now:

3 x + 3 y = 18
-
3 x + 2 y = 8
__________

0 + y = 10

y = 10

Put this value in first equation.

x + y = 6

x + 10 = 6

Subtract 10 to both sides

x = - 4

The solution is:

x = - 4 , y = 10

You can write this solution as ( - 4 , 10 )

Answer C