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Popular >

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

Solution

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

Solution

x = - 1, y = 2

Solution steps

[2 x + 3 y = 4 3 x - 3 y = - 9]

Isolate

x

for

2 x + 3 y = 4 : x = \frac{4 - 3 y}{2}

Substitute

x = \frac{4 - 3 y}{2}

[3 \cdot \frac{4 - 3 y}{2} - 3 y = - 9]

Simplify

[\frac{12 - 15 y}{2} = - 9]

Isolate

y

for

\frac{12 - 15 y}{2} = - 9 : y = 2

For

x = \frac{4 - 3 y}{2}

Substitute

y = 2

x = \frac{4 - 3 \cdot 2}{2}

\frac{4 - 3 \cdot 2}{2} = - 1

x = - 1

The solutions to the system of equations are:

x = - 1, y = 2

Popular Examples

15x-7y=66,7x+2y=15

15 x - 7 y = 66, 7 x + 2 y = 15

x + y = 18, 0 x - y = 40

a = 1, b = 6, c = 9

3x+5y=9,-3x-8y=-18

3 x + 5 y = 9, - 3 x - 8 y = - 18

x+2y=8,-x+3y=17

x + 2 y = 8, - x + 3 y = 17

Frequently Asked Questions (FAQ)

What is 2x+3y=4,3x-3y=-9 ?
The solution to 2x+3y=4,3x-3y=-9 is x=-1,y=2