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Popular >

2x+y=8,x-4y=-5

Solution

2 x + y = 8, x - 4 y = - 5

Solution

x = 3, y = 2

Solution steps

[2 x + y = 8 x - 4 y = - 5]

Isolate

x

for

2 x + y = 8 : x = \frac{8 - y}{2}

Substitute

x = \frac{8 - y}{2}

[\frac{8 - y}{2} - 4 y = - 5]

Simplify

[\frac{8 - 9 y}{2} = - 5]

Isolate

y

for

\frac{8 - 9 y}{2} = - 5 : y = 2

For

x = \frac{8 - y}{2}

Substitute

y = 2

x = \frac{8 - 2}{2}

\frac{8 - 2}{2} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

5x-2y=2,-x-2y=-10

5 x - 2 y = 2, - x - 2 y = - 10

x+2y-3z=4,y+2z=3,z=1

x + 2 y - 3 z = 4, y + 2 z = 3, z = 1

5x-y=3,2x+4y=-12

5 x - y = 3, 2 x + 4 y = - 12

2x+4y-2=4,x+8y-10=0

2 x + 4 y - 2 = 4, x + 8 y - 10 = 0

3 x + 8 = 2, x - a = 0

Frequently Asked Questions (FAQ)

What is 2x+y=8,x-4y=-5 ?
The solution to 2x+y=8,x-4y=-5 is x=3,y=2