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Popular >

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

Solution

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

Solution

x = 2, y = - 1

Solution steps

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

Isolate

x

for

2 x + y = 3 : x = \frac{3 - y}{2}

Substitute

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

[2 \cdot \frac{3 - y}{2} + 2 y = 2]

Simplify

[3 + y = 2]

Isolate

y

for

3 + y = 2 : y = - 1

For

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

Substitute

y = - 1

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

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

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

Popular Examples

2x+5y=1,3x-2y=-8

2 x + 5 y = 1, 3 x - 2 y = - 8

7x-4y=1,1-5+6y=0

7 x - 4 y = 1, 1 - 5 + 6 y = 0

x + 3 y = 1, 3 y = x + 3

3x+8y=19,4x-y=2

3 x + 8 y = 19, 4 x - y = 2

2x+4y+z=23,6x+2y-z=35,4x-y+2z=19

2 x + 4 y + z = 23, 6 x + 2 y - z = 35, 4 x - y + 2 z = 19

Frequently Asked Questions (FAQ)

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