Question

Select the ordered pair(s) that are solutions to equation below:



`2x+3y=-12`

Answer 1

There are infinite solutions to the equation since it is a linear equation with two variables. However, if we want to find specific solutions, we can plug in values for either x or y and solve for the other variable. For example:

If we let x = 0, the equation becomes:
2(0) + 3y = -12
3y = -12
y = -4

So one solution is (0, -4).

If we let y = 0, the equation becomes:
2x + 3(0) = -12
2x = -12
x = -6

So another solution is (-6, 0).

Therefore, the ordered pairs that are solutions to the equation are (0, -4) and (-6, 0).