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Popular >

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

Solution

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

Solution

x = 2, y = 2

Solution steps

[2 x - y = 2 3 x + 2 y = 10]

Isolate

x

for

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

Substitute

x = \frac{2 + y}{2}

[3 \cdot \frac{2 + y}{2} + 2 y = 10]

Simplify

[\frac{6 + 7 y}{2} = 10]

Isolate

y

for

\frac{6 + 7 y}{2} = 10 : y = 2

For

x = \frac{2 + y}{2}

Substitute

y = 2

x = \frac{2 + 2}{2}

\frac{2 + 2}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 2

Popular Examples

12x+8y=14,16x-12y=-8

12 x + 8 y = 14, 16 x - 12 y = - 8

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

3x-4y=2,5x-3y=7

3 x - 4 y = 2, 5 x - 3 y = 7

5x-3y=13,3x+2y=23

5 x - 3 y = 13, 3 x + 2 y = 23

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

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

Frequently Asked Questions (FAQ)

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