What is 2x+y=6,3x-y=18 ?

The solution to 2x+y=6,3x-y=18 is x= 24/5 ,y=-18/5

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2x+y=6,3x-y=18

2 x + y = 6, 3 x - y = 18

x = \frac{24}{5}, y = - \frac{18}{5}

Solution steps

[2 x + y = 6 3 x - y = 18]

Isolate

x

for

2 x + y = 6 : x = \frac{6 - y}{2}

Substitute

x = \frac{6 - y}{2}

[3 \cdot \frac{6 - y}{2} - y = 18]

Simplify

[\frac{18 - 5 y}{2} = 18]

Isolate

y

for

\frac{18 - 5 y}{2} = 18 : y = - \frac{18}{5}

For

x = \frac{6 - y}{2}

Substitute

y = - \frac{18}{5}

x = \frac{6 - ( - \frac{18}{5} )}{2}

\frac{6 - ( - \frac{18}{5} )}{2} = \frac{24}{5}

x = \frac{24}{5}

The solutions to the system of equations are:

x = \frac{24}{5}, y = - \frac{18}{5}

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