What is 3(x+y)=2,x-1x+y=-5 ?

The solution to 3(x+y)=2,x-1x+y=-5 is x= 17/3 ,y=-5

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3(x+y)=2,x-1x+y=-5

3 (x + y) = 2, x - 1 x + y = - 5

x = \frac{17}{3}, y = - 5

Solution steps

[3 (x + y) = 2 x - 1 \cdot x + y = - 5]

Isolate

x

for

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

Substitute

x = \frac{2}{3} - y

[\frac{2}{3} - y - 1 \cdot (\frac{2}{3} - y) + y = - 5]

Simplify

[y = - 5]

For

x = \frac{2}{3} - y

Substitute

y = - 5

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

\frac{2}{3} - (- 5) = \frac{17}{3}

x = \frac{17}{3}

The solutions to the system of equations are:

x = \frac{17}{3}, y = - 5

y - 4 x = 1, 6 x - 5 y = 9

6 x + 2 y = 10, 10 x - 3 y = 12

4 x + 5 y = 10, 5 x + 4 y = 20

2 x + 3 y = 1, 5 x + 4 y = 6

x y = 2 x + 2, y = 3

What is 3(x+y)=2,x-1x+y=-5 ?
The solution to 3(x+y)=2,x-1x+y=-5 is x= 17/3 ,y=-5