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Popular >

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

Solution

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

Solution

x = - \frac{1}{6}, y = \frac{13}{6}

Solution steps

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

Isolate

x

for

x + y = 2 : x = 2 - y

Substitute

x = 2 - y

[5 (2 - y) - y = - 3]

Simplify

[10 - 6 y = - 3]

Isolate

y

for

10 - 6 y = - 3 : y = \frac{13}{6}

For

x = 2 - y

Substitute

y = \frac{13}{6}

x = 2 - \frac{13}{6}

2 - \frac{13}{6} = - \frac{1}{6}

x = - \frac{1}{6}

The solutions to the system of equations are:

x = - \frac{1}{6}, y = \frac{13}{6}

Popular Examples

7x+3y=15,12y-5x=39

7 x + 3 y = 15, 12 y - 5 x = 39

-x+y=1,-2x+4y=-8

- x + y = 1, - 2 x + 4 y = - 8

a + b = 1, a - b = 16

x+7y=10,2x+y=13

x + 7 y = 10, 2 x + y = 13

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

Frequently Asked Questions (FAQ)

What is x+y=2,5x-y=-3 ?
The solution to x+y=2,5x-y=-3 is x=-1/6 ,y= 13/6