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Popular >

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

Solution

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

Solution

x = 2, y = - 1

Solution steps

[2 x + 3 y = 1 3 x + 2 y = 4]

Isolate

x

for

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

Substitute

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

[3 \cdot \frac{1 - 3 y}{2} + 2 y = 4]

Simplify

[\frac{3 - 5 y}{2} = 4]

Isolate

y

for

\frac{3 - 5 y}{2} = 4 : y = - 1

For

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

Substitute

y = - 1

x = \frac{1 - 3 ( - 1 )}{2}

\frac{1 - 3 ( - 1 )}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

Popular Examples

2 x - y = 6, 4 x + 2 y = 3

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

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

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

2x+3y=12,4x+6y=24

2 x + 3 y = 12, 4 x + 6 y = 24

Frequently Asked Questions (FAQ)

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