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Popular >

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

Solution

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

Solution

x = 1, y = 1

Solution steps

[2 x + 3 y = 5 3 x - 2 y = 1]

Isolate

x

for

2 x + 3 y = 5 : x = \frac{5 - 3 y}{2}

Substitute

x = \frac{5 - 3 y}{2}

[3 \cdot \frac{5 - 3 y}{2} - 2 y = 1]

Simplify

[\frac{15 - 13 y}{2} = 1]

Isolate

y

for

\frac{15 - 13 y}{2} = 1 : y = 1

For

x = \frac{5 - 3 y}{2}

Substitute

y = 1

x = \frac{5 - 3 \cdot 1}{2}

Simplify

x = 1

The solutions to the system of equations are:

x = 1, y = 1

Popular Examples

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

2x-3y=14,6x+4y=16

2 x - 3 y = 14, 6 x + 4 y = 16

3x+2y=1,4-x+4y=7

3 x + 2 y = 1, 4 - x + 4 y = 7

x - y = 4, x + 3 y = 0

3x+4y=-7,-3x-8y=-1

3 x + 4 y = - 7, - 3 x - 8 y = - 1

Frequently Asked Questions (FAQ)

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