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Popular >

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

Solution

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

Solution

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

Solution steps

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

Isolate

x

for

x + y = 1 : x = 1 - y

Substitute

x = 1 - y

[3 (1 - y) - y = 5]

Simplify

[3 - 4 y = 5]

Isolate

y

for

3 - 4 y = 5 : y = - \frac{1}{2}

For

x = 1 - y

Substitute

y = - \frac{1}{2}

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

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

x = \frac{3}{2}

The solutions to the system of equations are:

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

Popular Examples

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

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

2x+3y=12,4x+6y=24

2 x + 3 y = 12, 4 x + 6 y = 24

x+7y=10,3x-2y=7

x + 7 y = 10, 3 x - 2 y = 7

3x-5y=9,2x+7y=6

3 x - 5 y = 9, 2 x + 7 y = 6

Frequently Asked Questions (FAQ)

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