Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
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If: -11x+y = 13 Then: y = 11x+13 whereas 11 is the slope and 13 is the y intercept
-y + 7 = 13 -y = 6 y = -6
Does it say solve for y?
(2, 7)
So you've got x=4 and y=3. 11x + 5y = 11(4) + 5(3) = 44 + 15 = 59