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Popular >

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

Solution

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

Solution

x = \frac{5}{8}, y = \frac{1}{4}

Solution steps

[2 x + 3 y = 2 2 x - y = 1]

Isolate

x

for

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

Substitute

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

[2 \cdot \frac{2 - 3 y}{2} - y = 1]

Simplify

[2 - 4 y = 1]

Isolate

y

for

2 - 4 y = 1 : y = \frac{1}{4}

For

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

Substitute

y = \frac{1}{4}

x = \frac{2 - 3 \cdot \frac{1}{4}}{2}

\frac{2 - 3 \cdot \frac{1}{4}}{2} = \frac{5}{8}

x = \frac{5}{8}

The solutions to the system of equations are:

x = \frac{5}{8}, y = \frac{1}{4}

Popular Examples

2x+y+z=1,6x+2y+z=-1,-2x+2y+z=7

2 x + y + z = 1, 6 x + 2 y + z = - 1, - 2 x + 2 y + z = 7

x+y+z=6,x-y+z=2,x-z=-2

x + y + z = 6, x - y + z = 2, x - z = - 2

3(x+y)=2x-1,x+y=-5

3 (x + y) = 2 x - 1, x + y = - 5

2x+3y=53,3x-y=19

2 x + 3 y = 53, 3 x - y = 19

4x+6y=2,6x+5y=1

4 x + 6 y = 2, 6 x + 5 y = 1

Frequently Asked Questions (FAQ)

What is 2x+3y=2,2x-y=1 ?
The solution to 2x+3y=2,2x-y=1 is x= 5/8 ,y= 1/4