Question

Select all of the answer choices that are solutions to the equation2x+2y=0.Ox=0y = -1O x = 1, y = -1Ox= -2O x = -2, y = -2O x = 0, y = 0

Answer 1

`\because2x+2y=0`

If the sum of two terms = 0, then the 2 terms must have the same value but different signs

That means x and y must have the same value but different signs

Look at the given answers

The 1st, 2nd, and 4th answers are wrong because the solution of this equation must have a value of x and a value of y together

In the 3rd answer

x = 1 and y = -1

Both have the same value and different signs

Then 3rd answer is a solution

In the 5th answer

x = -2 and y = -2

They have the same value with the same signs

The 5th answer is not a solution

In the last answer

x = 0 and y = 0

They have the same value but the zero has no sign

Then substitute them in the equation to check if it is solution or not

2(0)+2(0) = 0

0 + 0 = 0

The 2 sides of the equation are equal, then

The last answer is a solution

The answer is the 3rd and last answers