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Popular >

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

Solution

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

Solution

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

Solution steps

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

Isolate

x

for

5 x - 2 y = 2 : x = \frac{2 + 2 y}{5}

Substitute

x = \frac{2 + 2 y}{5}

[\frac{2 + 2 y}{5} + 2 y = 2]

Simplify

[\frac{2 + 12 y}{5} = 2]

Isolate

y

for

\frac{2 + 12 y}{5} = 2 : y = \frac{2}{3}

For

x = \frac{2 + 2 y}{5}

Substitute

y = \frac{2}{3}

x = \frac{2 + 2 \cdot \frac{2}{3}}{5}

\frac{2 + 2 \cdot \frac{2}{3}}{5} = \frac{2}{3}

x = \frac{2}{3}

The solutions to the system of equations are:

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

Popular Examples

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

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

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

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

x + y = 6, x - y = 4

3 x - y = 3, 9 x - 3 y = 9

x-3y=1,3x-2y+4=0

x - 3 y = 1, 3 x - 2 y + 4 = 0

Frequently Asked Questions (FAQ)

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