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Popular >

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

Solution

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

Solution

x = \frac{8}{3}, y = \frac{5}{3}

Solution steps

[x + 2 y = 6 x - y = 1]

Isolate

x

for

x + 2 y = 6 : x = 6 - 2 y

Substitute

x = 6 - 2 y

[6 - 2 y - y = 1]

Simplify

[6 - 3 y = 1]

Isolate

y

for

6 - 3 y = 1 : y = \frac{5}{3}

For

x = 6 - 2 y

Substitute

y = \frac{5}{3}

x = 6 - 2 \cdot \frac{5}{3}

6 - 2 \cdot \frac{5}{3} = \frac{8}{3}

x = \frac{8}{3}

The solutions to the system of equations are:

x = \frac{8}{3}, y = \frac{5}{3}

Popular Examples

2x+3y=7,4x+2x=10

2 x + 3 y = 7, 4 x + 2 x = 10

3x-5y=9,24x-12=42y

3 x - 5 y = 9, 24 x - 12 = 42 y

4x+10y=3,2x+5y=2

4 x + 10 y = 3, 2 x + 5 y = 2

x + 2 y = 1, 3 x - y = 17

-2x+3y=1,8-5y+x=-23

- 2 x + 3 y = 1, 8 - 5 y + x = - 23

Frequently Asked Questions (FAQ)

What is x+2y=6,x-y=1 ?
The solution to x+2y=6,x-y=1 is x= 8/3 ,y= 5/3