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Popular >

3x-2y=5,-2x+3y=0

Solution

3 x - 2 y = 5, - 2 x + 3 y = 0

Solution

x = 3, y = 2

Solution steps

[3 x - 2 y = 5 - 2 x + 3 y = 0]

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} + 3 y = 0]

Simplify

[\frac{- 10 + 5 y}{3} = 0]

Isolate

y

for

\frac{- 10 + 5 y}{3} = 0 : y = 2

For

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

Substitute

y = 2

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

\frac{5 + 2 \cdot 2}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

2x-7y=7,3x+y=22

2 x - 7 y = 7, 3 x + y = 22

5 b = 5, a = 12

y = 16, x = 2

v=3i+2j+k,w=3i+4k

v = 3 i + 2 j + k, w = 3 i + 4 k

x + y = 1, 4 x - y = 4

Frequently Asked Questions (FAQ)

What is 3x-2y=5,-2x+3y=0 ?
The solution to 3x-2y=5,-2x+3y=0 is x=3,y=2