What is x-2y=52,11x+15y=-20 ?

The solution to x-2y=52,11x+15y=-20 is x=20,y=-16

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x-2y=52,11x+15y=-20

x - 2 y = 52, 11 x + 15 y = - 20

x = 20, y = - 16

Solution steps

[x - 2 y = 52 11 x + 15 y = - 20]

Isolate

x

for

x - 2 y = 52 : x = 52 + 2 y

Substitute

x = 52 + 2 y

[11 (52 + 2 y) + 15 y = - 20]

Simplify

[572 + 37 y = - 20]

Isolate

y

for

572 + 37 y = - 20 : y = - 16

For

x = 52 + 2 y

Substitute

y = - 16

x = 52 + 2 (- 16)

52 + 2 (- 16) = 20

x = 20

The solutions to the system of equations are:

x = 20, y = - 16

3 x + 4 y = 8, x - 2 y = 5

x - 3 y = 3, x + 2 y = - 2

x + y = 9, 2 x - y = 12

4 x + 3 y = 48, 3 x + 2 y = 34

2 x + y = - 2, 4 x - y = - 4