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Popular >

2x-y=1,x+y=0

Solution

2 x - y = 1, x + y = 0

Solution

x = \frac{1}{3}, y = - \frac{1}{3}

Solution steps

[2 x - y = 1 x + y = 0]

Isolate

x

for

2 x - y = 1 : x = \frac{1 + y}{2}

Substitute

x = \frac{1 + y}{2}

[\frac{1 + y}{2} + y = 0]

Simplify

[\frac{1 + 3 y}{2} = 0]

Isolate

y

for

\frac{1 + 3 y}{2} = 0 : y = - \frac{1}{3}

For

x = \frac{1 + y}{2}

Substitute

y = - \frac{1}{3}

x = \frac{1 - \frac{1}{3}}{2}

\frac{1 - \frac{1}{3}}{2} = \frac{1}{3}

x = \frac{1}{3}

The solutions to the system of equations are:

x = \frac{1}{3}, y = - \frac{1}{3}

Popular Examples

2 x - y = 1, x + y = 5

yy = ln (x), y = 1

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

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

6x-3y=20,4x+3y=40

6 x - 3 y = 20, 4 x + 3 y = 40

2x+2y=3,x+5y=-9

2 x + 2 y = 3, x + 5 y = - 9

Frequently Asked Questions (FAQ)

What is 2x-y=1,x+y=0 ?
The solution to 2x-y=1,x+y=0 is x= 1/3 ,y=-1/3