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Popular >

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

Solution

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

Solution

x = - 4, y = 2

Solution steps

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

Isolate

x

for

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

Substitute

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

[3 (- \frac{14 - 3 y}{2}) - y = - 14]

Simplify

[\frac{- 42 + 7 y}{2} = - 14]

Isolate

y

for

\frac{- 42 + 7 y}{2} = - 14 : y = 2

For

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

Substitute

y = 2

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

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

x = - 4

The solutions to the system of equations are:

x = - 4, y = 2

Popular Examples

2x+4y=1,3x-5y=7

2 x + 4 y = 1, 3 x - 5 y = 7

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

-2x+4y=7,3x-5y=4

- 2 x + 4 y = 7, 3 x - 5 y = 4

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

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

x + y = 6, x - y = 4

Frequently Asked Questions (FAQ)

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