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Popular >

2x+y=2,2y-x=7

Solution

2 x + y = 2, 2 y - x = 7

Solution

x = - \frac{3}{5}, y = \frac{16}{5}

Solution steps

[2 x + y = 2 2 y - x = 7]

Isolate

x

for

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

Substitute

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

[2 y - \frac{2 - y}{2} = 7]

Simplify

[\frac{- 2 + 5 y}{2} = 7]

Isolate

y

for

\frac{- 2 + 5 y}{2} = 7 : y = \frac{16}{5}

For

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

Substitute

y = \frac{16}{5}

x = \frac{2 - \frac{16}{5}}{2}

\frac{2 - \frac{16}{5}}{2} = - \frac{3}{5}

x = - \frac{3}{5}

The solutions to the system of equations are:

x = - \frac{3}{5}, y = \frac{16}{5}

Popular Examples

10y+7x=2,9-5y-9x=2

10 y + 7 x = 2, 9 - 5 y - 9 x = 2

3x+2y=18,13x-14y+58=0

3 x + 2 y = 18, 13 x - 14 y + 58 = 0

4x+5y=40,-x=2y-3

4 x + 5 y = 40, - x = 2 y - 3

4 x - y = 5, x + y = 5

5x+3y=21,-x+2y=12

5 x + 3 y = 21, - x + 2 y = 12

Frequently Asked Questions (FAQ)

What is 2x+y=2,2y-x=7 ?
The solution to 2x+y=2,2y-x=7 is x=-3/5 ,y= 16/5