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Popular >

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

Solution

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

Solution

x = \frac{5}{12}, y = - \frac{1}{12}

Solution steps

[5 x + y = 2 7 x - y = 3]

Isolate

x

for

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

Substitute

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

[7 \cdot \frac{2 - y}{5} - y = 3]

Simplify

[\frac{14 - 12 y}{5} = 3]

Isolate

y

for

\frac{14 - 12 y}{5} = 3 : y = - \frac{1}{12}

For

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

Substitute

y = - \frac{1}{12}

x = \frac{2 - ( - \frac{1}{12} )}{5}

\frac{2 - ( - \frac{1}{12} )}{5} = \frac{5}{12}

x = \frac{5}{12}

The solutions to the system of equations are:

x = \frac{5}{12}, y = - \frac{1}{12}

Popular Examples

3y-6x=9,2x+y=-2

3 y - 6 x = 9, 2 x + y = - 2

3x+2y-7=2,x+y-6=0

3 x + 2 y - 7 = 2, x + y - 6 = 0

3x+3y=21,3x-3y=3

3 x + 3 y = 21, 3 x - 3 y = 3

-5x+2y=-17,4x-3y=22

- 5 x + 2 y = - 17, 4 x - 3 y = 22

5x-7y=34,6x+8y=8

5 x - 7 y = 34, 6 x + 8 y = 8

Frequently Asked Questions (FAQ)

What is 5x+y=2,7x-y=3 ?
The solution to 5x+y=2,7x-y=3 is x= 5/12 ,y=-1/12