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Popular >

3x-2y=4,2x+3y=-6

Solution

3 x - 2 y = 4, 2 x + 3 y = - 6

Solution

x = 0, y = - 2

Solution steps

[3 x - 2 y = 4 2 x + 3 y = - 6]

Isolate

x

for

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

Substitute

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

[2 \cdot \frac{4 + 2 y}{3} + 3 y = - 6]

Simplify

[\frac{8 + 13 y}{3} = - 6]

Isolate

y

for

\frac{8 + 13 y}{3} = - 6 : y = - 2

For

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

Substitute

y = - 2

x = \frac{4 + 2 ( - 2 )}{3}

\frac{4 + 2 ( - 2 )}{3} = 0

x = 0

The solutions to the system of equations are:

x = 0, y = - 2

Graph

Popular Examples

6a+3b=5,3a+12b=13

6 a + 3 b = 5, 3 a + 12 b = 13

x-2y+7=0,x+y+2=0

x - 2 y + 7 = 0, x + y + 2 = 0

4a-3b=5,3a-4b=2

4 a - 3 b = 5, 3 a - 4 b = 2

x + y = 40, x - 3 y = 20

7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44

7 (y + 3) - 2 (x + 2) = 14, 4 (y + 2) + 4 (x + 3) = 44

Frequently Asked Questions (FAQ)

What is 3x-2y=4,2x+3y=-6 ?
The solution to 3x-2y=4,2x+3y=-6 is x=0,y=-2