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Popular >

3x+2y=6,2x+3y=9

Solution

3 x + 2 y = 6, 2 x + 3 y = 9

Solution

x = 0, y = 3

Solution steps

[3 x + 2 y = 6 2 x + 3 y = 9]

Isolate

x

for

3 x + 2 y = 6 : x = \frac{6 - 2 y}{3}

Substitute

x = \frac{6 - 2 y}{3}

[2 \cdot \frac{6 - 2 y}{3} + 3 y = 9]

Simplify

[\frac{12 + 5 y}{3} = 9]

Isolate

y

for

\frac{12 + 5 y}{3} = 9 : y = 3

For

x = \frac{6 - 2 y}{3}

Substitute

y = 3

x = \frac{6 - 2 \cdot 3}{3}

Simplify

x = 0

The solutions to the system of equations are:

x = 0, y = 3

Popular Examples

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

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

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

Frequently Asked Questions (FAQ)

What is 3x+2y=6,2x+3y=9 ?
The solution to 3x+2y=6,2x+3y=9 is x=0,y=3