Solving for x and y in a linear equation (x, y)

-11x-10y=17

5x-7y=50

Top one

y=-1.7+11y

x=-1.55+10y

Bottom one

y=-7.14-5x

The best way to do this equation would be subtraction

-11x-10y=17

5x-7y=50

multiply the top equation by - 7 and the bottom equation by 10

77x+70y=-119

50x-70y=500

The y cancels out

127x=381

x=3

plug y back into the original equation

-11 (3) - 10y=17

-33-10y=17

-10y=50

y=-5

(3,-5)