What is the solution of - 2x-2y=4 and x+5y=10

-2x - 2y = 4

x + 5y = 10

It looks like the method it would be easiest to use to solve this system is substitution. To use substitution, let us isolate x in the second equation:

x + 5y = 10

x = - 5y + 10

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-2x - 2y = 4

-2 (-5y + 10) - 2y = 4

10y - 20 - 2y = 4

8y - 20 = 4

8y = 24

y = 3

Now we can substitute back into the second equation to find x:

x + 5y = 10

x + 5 (3) = 10

x + 15 = 10

x = - 5

Finally, to check our work:

-2 (-5) - 2 (3) = 4 - - > 10 - 6 = 4 <--True

-5 + 5 (3) = 10 - - > - 5 + 15 = 10 <--True

Answer:

y = 3

x = - 5