What is 5(x-2)+2y=-5,3(x+y)-8=2(y-2) ?

The solution to 5(x-2)+2y=-5,3(x+y)-8=2(y-2) is x=3,y=-5

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5(x-2)+2y=-5,3(x+y)-8=2(y-2)

5 (x - 2) + 2 y = - 5, 3 (x + y) - 8 = 2 (y - 2)

x = 3, y = - 5

Solution steps

[5 (x - 2) + 2 y = - 5 3 (x + y) - 8 = 2 (y - 2)]

Isolate

x

for

5 (x - 2) + 2 y = - 5 : x = \frac{- 5 - 2 y}{5} + 2

Substitute

x = \frac{- 5 - 2 y}{5} + 2

[3 (\frac{- 5 - 2 y}{5} + 2 + y) - 8 = 2 (y - 2)]

Simplify

[\frac{3 ( 3 y - 5 )}{5} - 2 = 2 (y - 2)]

Isolate

y

for

\frac{3 ( 3 y - 5 )}{5} - 2 = 2 (y - 2) : y = - 5

For

x = \frac{- 5 - 2 y}{5} + 2

Substitute

y = - 5

x = \frac{- 5 - 2 ( - 5 )}{5} + 2

\frac{- 5 - 2 ( - 5 )}{5} + 2 = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 5

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

2 x - 4 y = 36, 4 x + 2 y = 82

5 a + b = 21, 2 a + 3 b = 24 s

(\frac{x}{5}) + y + 2 = 0, (\frac{x}{3}) - y - 10 = 0

a = - 3, b = - 6, c = - 2

What is 5(x-2)+2y=-5,3(x+y)-8=2(y-2) ?
The solution to 5(x-2)+2y=-5,3(x+y)-8=2(y-2) is x=3,y=-5