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?

Question

asked Jul 28, 2022 151k views

2 Answers

Woggles · Answer 1 · 2022-08-02T06:57:31+0000

Answer:

(-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)