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Popular >

2x+3y=1,-x+y=1

Solution

2 x + 3 y = 1, - x + y = 1

Solution

x = - \frac{2}{5}, y = \frac{3}{5}

Solution steps

[2 x + 3 y = 1 - x + y = 1]

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{- 1 + 5 y}{2} = 1]

Isolate

y

for

\frac{- 1 + 5 y}{2} = 1 : y = \frac{3}{5}

For

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

Substitute

y = \frac{3}{5}

x = \frac{1 - 3 \cdot \frac{3}{5}}{2}

\frac{1 - 3 \cdot \frac{3}{5}}{2} = - \frac{2}{5}

x = - \frac{2}{5}

The solutions to the system of equations are:

x = - \frac{2}{5}, y = \frac{3}{5}

Popular Examples

x + y = 10, x - y = - 7

3 x + y = 5, - x + 2 y = 7

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

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

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

x - 5 y = 6 x - 8, y = 3

Frequently Asked Questions (FAQ)

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