Question

2x+2y=-2 3x-2y=12 What is this please

Answer 1

Answer:

x=2, y=-3

Step-by-step explanation:

This type of problems is called a system of equations, or simultaneous equations.

When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:

2x+2y=-2

3x-2y=12

(2x+3x)+(2y-2y)=(-2+12)

5x=10

x=2

Now that we know the value of x, use it to find y:

2x+2y=-2

2(2)+2y=-2

4+2y=-2

2y=-6

y=-3