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Popular >

3x-2y=7,2x+3y=9

Solution

3 x - 2 y = 7, 2 x + 3 y = 9

Solution

x = 3, y = 1

Solution steps

[3 x - 2 y = 7 2 x + 3 y = 9]

Isolate

x

for

3 x - 2 y = 7 : x = \frac{7 + 2 y}{3}

Substitute

x = \frac{7 + 2 y}{3}

[2 \cdot \frac{7 + 2 y}{3} + 3 y = 9]

Simplify

[\frac{14 + 13 y}{3} = 9]

Isolate

y

for

\frac{14 + 13 y}{3} = 9 : y = 1

For

x = \frac{7 + 2 y}{3}

Substitute

y = 1

x = \frac{7 + 2 \cdot 1}{3}

\frac{7 + 2 \cdot 1}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 1

Popular Examples

4x+3y=1,7x-2y=9

4 x + 3 y = 1, 7 x - 2 y = 9

x - y = 4, x - 2 y = 9

7x-y=5,21x-3y=10

7 x - y = 5, 21 x - 3 y = 10

-x-2y=10,4x+4y=4

- x - 2 y = 10, 4 x + 4 y = 4

2 x - 3 y = 5, x + 4 y = 1

Frequently Asked Questions (FAQ)

What is 3x-2y=7,2x+3y=9 ?
The solution to 3x-2y=7,2x+3y=9 is x=3,y=1