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Popular >

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

Solution

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

Solution

x = 1, y = - 1

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{10 + 7 y}{3} = 1]

Isolate

y

for

\frac{10 + 7 y}{3} = 1 : y = - 1

For

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

Substitute

y = - 1

x = \frac{5 + 2 ( - 1 )}{3}

\frac{5 + 2 ( - 1 )}{3} = 1

x = 1

The solutions to the system of equations are:

x = 1, y = - 1

Popular Examples

20x+10y=50,0y^{40}x-50y=300

20 x + 10 y = 50, 0 y^{40} x - 50 y = 300

3x-2y=10,2x+3y=10

3 x - 2 y = 10, 2 x + 3 y = 10

4x-11y=-3,2x+5y=21

4 x - 11 y = - 3, 2 x + 5 y = 21

x+y+z=9,2x-3y+4z=13,3x+4y+5z=40

x + y + z = 9, 2 x - 3 y + 4 z = 13, 3 x + 4 y + 5 z = 40

a = 2, m = 3

Frequently Asked Questions (FAQ)

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