What is 4x-y=8,3x+2y=12 ?

The solution to 4x-y=8,3x+2y=12 is x= 28/11 ,y= 24/11

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4x-y=8,3x+2y=12

4 x - y = 8, 3 x + 2 y = 12

x = \frac{28}{11}, y = \frac{24}{11}

Solution steps

[4 x - y = 8 3 x + 2 y = 12]

Isolate

x

for

4 x - y = 8 : x = \frac{8 + y}{4}

Substitute

x = \frac{8 + y}{4}

[3 \cdot \frac{8 + y}{4} + 2 y = 12]

Simplify

[\frac{24 + 11 y}{4} = 12]

Isolate

y

for

\frac{24 + 11 y}{4} = 12 : y = \frac{24}{11}

For

x = \frac{8 + y}{4}

Substitute

y = \frac{24}{11}

x = \frac{8 + \frac{24}{11}}{4}

\frac{8 + \frac{24}{11}}{4} = \frac{28}{11}

x = \frac{28}{11}

The solutions to the system of equations are:

x = \frac{28}{11}, y = \frac{24}{11}

3 x + 9 + 1 = 0, 2 x - 3 y + 8 = 0

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6 x + 5 y = 32, 2 x + 5 y = 12

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