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Popular >

2x+3y=1,6x-y=3

Solution

2 x + 3 y = 1, 6 x - y = 3

Solution

x = \frac{1}{2}, y = 0

Solution steps

[2 x + 3 y = 1 6 x - y = 3]

Isolate

x

for

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

Substitute

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

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

Simplify

[- 10 y + 3 = 3]

Isolate

y

for

- 10 y + 3 = 3 : y = 0

For

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

Substitute

y = 0

x = \frac{1 - 3 \cdot 0}{2}

Simplify

x = \frac{1}{2}

The solutions to the system of equations are:

x = \frac{1}{2}, y = 0

Popular Examples

11x-9y=21,3x-15y=-2

11 x - 9 y = 21, 3 x - 15 y = - 2

3x+2y=19,4x-y=29

3 x + 2 y = 19, 4 x - y = 29

x + y = - 2, 2 x - y = 26

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

y = 0, x = 0, x = 2

Frequently Asked Questions (FAQ)

What is 2x+3y=1,6x-y=3 ?
The solution to 2x+3y=1,6x-y=3 is x= 1/2 ,y=0