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Popular >

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

Solution

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

Solution

x = 3, y = - 2

Solution steps

[2 x + y = 4 2 x - y = 8]

Isolate

x

for

2 x + y = 4 : x = \frac{4 - y}{2}

Substitute

x = \frac{4 - y}{2}

[2 \cdot \frac{4 - y}{2} - y = 8]

Simplify

[4 - 2 y = 8]

Isolate

y

for

4 - 2 y = 8 : y = - 2

For

x = \frac{4 - y}{2}

Substitute

y = - 2

x = \frac{4 - ( - 2 )}{2}

\frac{4 - ( - 2 )}{2} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 2

Popular Examples

2x+y=60,x+6y=250

2 x + y = 60, x + 6 y = 250

x = 3, y = 2

x + y = 5, x - y = 3

2 x - y = 1, 2 x - 3 y = 7

2x+y-3z=0,4x+2y-6z=0,x-y+z=0

2 x + y - 3 z = 0, 4 x + 2 y - 6 z = 0, x - y + z = 0

Frequently Asked Questions (FAQ)

What is 2x+y=4,2x-y=8 ?
The solution to 2x+y=4,2x-y=8 is x=3,y=-2