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Popular >

2x-y=1,2y=x

Solution

2 x - y = 1, 2 y = x

Solution

x = \frac{2}{3}, y = \frac{1}{3}

Solution steps

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

Isolate

x

for

2 x - y = 1 : x = \frac{1 + y}{2}

Substitute

x = \frac{1 + y}{2}

[2 y = \frac{1 + y}{2}]

Isolate

y

for

2 y = \frac{1 + y}{2} : y = \frac{1}{3}

For

x = \frac{1 + y}{2}

Substitute

y = \frac{1}{3}

x = \frac{1 + \frac{1}{3}}{2}

\frac{1 + \frac{1}{3}}{2} = \frac{2}{3}

x = \frac{2}{3}

The solutions to the system of equations are:

x = \frac{2}{3}, y = \frac{1}{3}

Popular Examples

2x+7y=17,5x+4y=2

2 x + 7 y = 17, 5 x + 4 y = 2

x+4y-z=12,3x+8y-2z=4

x + 4 y - z = 12, 3 x + 8 y - 2 z = 4

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

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

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

x+y-2z=9,2x-y+4z=4,2x-y+6z=-1

x + y - 2 z = 9, 2 x - y + 4 z = 4, 2 x - y + 6 z = - 1

Frequently Asked Questions (FAQ)

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