What is the x and y equal to if the problems are 6x-5y equals 11 and -4x plus 7y equals 11?

6x - 5y = 11 --------- Eqn 1

-4x + 7y = 11 ------- Eqn 2

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24x - 20y = 44 ------ Eqn 1 multiplied by 4 on both sides, equation won't change

-24x + 42y = 66 ---- Eqn 2 multiplied by 6 on both sides, equation won't change

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0x + 22y = 110 ----- Adding the two eqns above gives you this result

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That is 22y = 110, or y = 5 (Answer)

Now substitute the value of y in either eqn 1 or eqn 2 (we will use eqn 1)

6x - 5(5) = 11

6x = 11 + 25 = 36

x = 6 (Answer)