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Popular >

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

Solution

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

Solution

x = 3, y = - 2

Solution steps

[2 x + y = 4 2 x - 2 y = 10]

Isolate

x

for

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

Substitute

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

[2 \cdot \frac{4 - y}{2} - 2 y = 10]

Simplify

[4 - 3 y = 10]

Isolate

y

for

4 - 3 y = 10 : 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

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

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

((3x))/2-((5y))/3 =-2, x/3+y/2 = 13/6

\frac{( 3 x )}{2} - \frac{( 5 y )}{3} = - 2, \frac{x}{3} + \frac{y}{2} = \frac{13}{6}

7 x - 4 y = 9, 4 y = 15

3x+2y=8,5x-3y=7

3 x + 2 y = 8, 5 x - 3 y = 7

y-4x=-42,((2x))/9+((5y))/6 =-3

y - 4 x = - 42, \frac{( 2 x )}{9} + \frac{( 5 y )}{6} = - 3

Frequently Asked Questions (FAQ)

What is 2x+y=4,2x-2y=10 ?
The solution to 2x+y=4,2x-2y=10 is x=3,y=-2