Question

I don't know if I asked this already but: 3x+2y=11 2x-2y=14 Solve for the variables.

Answer 1

`3x + 2y = 11and2x - 2y = 14 \\ 2 * 3x + 2 * 2y = 2 * 11and3 * 2x + 3( - 2)y = 3 * 12 \\ 6x + 4y = 22nd6x - 6y = 42 \\ 6x - 6x + 4y + 6y = 22 - 42 \\ 4y + 6y = 22 - 42 \\ 10y = 22 - 42 \\ 10y = - 20 \\ y = - 2 \\ \\ \\ \\ 2x - 2( - 2) = 14 \\ 2x + 4 = 14 \\ 2x = 10 \\ x = 5`

Answer 2

x = 5, y = -2.

Explanation:

3x+2y=11

2x-2y=14

Adding removes the y terms:

5x = 25

x = 5.

Substitute for x in the first equation:

3(5) + 2y = 11

2y = 11 - 15 = -4

y = -2.