Question

Solve the system x+y=−5 2x+2y=−5

Answer 1

Let's solve your system by substitution.

x+y=−5;2x+2y=−5

Step: Solvex+y=−5for x:

x+y=−5

x+y+−y=−5+−y(Add -y to both sides)

x=−y−5

Step: Substitute−y−5forxin2x+2y=−5:

2x+2y=−5

2(−y−5)+2y=−5

−10=−5(Simplify both sides of the equation)

−10+10=−5+10(Add 10 to both sides)

0=5

Explanation:

Answer 2

Hi!

This has no solutions.

This is because if you multiply the first equation by -2, you get -2x - 2y = 10, and then added to the other equation you get 0 = 5, a false statement.

Therefore it's no solutions.

Hope this helps! :D