Question

The equations 3x-2y=-14 and 3x+y=-11 are plotted on the same set of axes. what are the coordinates of a point that's common to both equations? how do you know?​

Answer 1

14

Explanation:

Answer 2

(-4, 1)

Explanation:

Solve it as a system of equations:

`3x-2y=-14\\3x+y=-11`

subtract the two equations

`-3y = -3`

divide both sides by -3

`y=1`

Plug this into the equation 3x + y = -11 to solve for x

`3x + 1 = -11\\`

subtract 1 from both sides

`3x = -12`

divide both sides by 3

`x = -4`

So the answer is (-4, 1)