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Popular >

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

Solution

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

Solution

x = - 2, y = 1

Solution steps

[2 x + 5 y = 1 - x + y = 3]

Isolate

x

for

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

Substitute

x = \frac{1 - 5 y}{2}

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

Simplify

[\frac{- 1 + 7 y}{2} = 3]

Isolate

y

for

\frac{- 1 + 7 y}{2} = 3 : y = 1

For

x = \frac{1 - 5 y}{2}

Substitute

y = 1

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

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

x = - 2

The solutions to the system of equations are:

x = - 2, y = 1

Popular Examples

x + y = 10, y - x = 8

x - 5 y = 10, 3 x + y = 6

5 x - 9 y = 2, x + 4 y = 1

5 x + y = 9, x - 2 y = 4

y+2x-19=0,2x-3y+3=0

y + 2 x - 19 = 0, 2 x - 3 y + 3 = 0

Frequently Asked Questions (FAQ)

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