Question

Solve the following system for x and y: 2x + 3y = 6
2x + y = -2

Answer 1

The solution is x = -3, y = 4.

Explanation:

2x + 3y = 6

2x + y = -2

This one ius quite straight forward to solve using elimination.

As 2x is common to both equations we can eliminate 2x by subtraction:

0 + 3y- y = 6 - (-2)

2y = 8

y = 4.

Next, we plug y = 4 into the first equation:

2x + 3(4) = 6

2x = 6 - 12

2x = -6

x = -3.

Answer 2

x=-3

y=4

Explanation:

2x+3y=6

2x+y=-2

solve for y

y=-2-2x

substitute

2x+3(-2-2x)=6

simplify

2x-6-6x=6

2x-6-6x+6=6+6

-4x=12

x=-3

substitute x

2(-3)+y=-2

-6+y=-2

y=4