What is 5x+y=22,3x-y=14 ?

The solution to 5x+y=22,3x-y=14 is x= 9/2 ,y=-1/2

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5x+y=22,3x-y=14

5 x + y = 22, 3 x - y = 14

x = \frac{9}{2}, y = - \frac{1}{2}

Solution steps

[5 x + y = 22 3 x - y = 14]

Isolate

x

for

5 x + y = 22 : x = \frac{22 - y}{5}

Substitute

x = \frac{22 - y}{5}

[3 \cdot \frac{22 - y}{5} - y = 14]

Simplify

[\frac{66 - 8 y}{5} = 14]

Isolate

y

for

\frac{66 - 8 y}{5} = 14 : y = - \frac{1}{2}

For

x = \frac{22 - y}{5}

Substitute

y = - \frac{1}{2}

x = \frac{22 - ( - \frac{1}{2} )}{5}

\frac{22 - ( - \frac{1}{2} )}{5} = \frac{9}{2}

x = \frac{9}{2}

The solutions to the system of equations are:

x = \frac{9}{2}, y = - \frac{1}{2}

2 x + y = 1, 5 x - y = 6

x + y = 3, 2 x + 5 y = 12

2 x - 3 y = - 13, 3 x - 2 y = - 12

4 x - 3 y = 7, 7 x + y = - 19

x + y = 100, x - y = 12