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Popular >

3x-2y=-14,2x+3y=8

Solution

3 x - 2 y = - 14, 2 x + 3 y = 8

Solution

x = - 2, y = 4

Solution steps

[3 x - 2 y = - 14 2 x + 3 y = 8]

Isolate

x

for

3 x - 2 y = - 14 : x = \frac{- 14 + 2 y}{3}

Substitute

x = \frac{- 14 + 2 y}{3}

[2 \cdot \frac{- 14 + 2 y}{3} + 3 y = 8]

Simplify

[\frac{- 28 + 13 y}{3} = 8]

Isolate

y

for

\frac{- 28 + 13 y}{3} = 8 : y = 4

For

x = \frac{- 14 + 2 y}{3}

Substitute

y = 4

x = \frac{- 14 + 2 \cdot 4}{3}

\frac{- 14 + 2 \cdot 4}{3} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 4

Popular Examples

2x+4y+3z=31,0x-8y-9z=4,x+4y-3z=2

2 x + 4 y + 3 z = 31, 0 x - 8 y - 9 z = 4, x + 4 y - 3 z = 2

23p+27q=10,27p+23q=100

23 p + 27 q = 10, 27 p + 23 q = 100

2x+y=-1,0x-3y=2

2 x + y = - 1, 0 x - 3 y = 2

3x-4y=20,x-12y=-20

3 x - 4 y = 20, x - 12 y = - 20

2x-y=90,x-3y=-40

2 x - y = 90, x - 3 y = - 40

Frequently Asked Questions (FAQ)

What is 3x-2y=-14,2x+3y=8 ?
The solution to 3x-2y=-14,2x+3y=8 is x=-2,y=4