Solve the system of equations by elimination.
2x + 2 y = 0
-3x - 2y = -2

x = 2, y = -2

Step-by-step explanation:

Solve for y in terms of x in the top equation: 2x + 2y = 0

2y = -2x

y = - x

Now, substitute -x for y in the second equation and solve for x:

-3x -2(-x) = -2

-3x + 2x = -2

-x = -2, so x = 2

Now substitute x = 2 into the first equation and solve for y:

2x + 2y = 0

2(2) +2y = 0

4 + 2y = 0

2y = -4

y =  -2

answer: l

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions