What is 5x-y=6,x+3y=10 ?

The solution to 5x-y=6,x+3y=10 is x= 7/4 ,y= 11/4

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5x-y=6,x+3y=10

5 x - y = 6, x + 3 y = 10

x = \frac{7}{4}, y = \frac{11}{4}

Solution steps

[5 x - y = 6 x + 3 y = 10]

Isolate

x

for

5 x - y = 6 : x = \frac{6 + y}{5}

Substitute

x = \frac{6 + y}{5}

[\frac{6 + y}{5} + 3 y = 10]

Simplify

[\frac{6 + 16 y}{5} = 10]

Isolate

y

for

\frac{6 + 16 y}{5} = 10 : y = \frac{11}{4}

For

x = \frac{6 + y}{5}

Substitute

y = \frac{11}{4}

x = \frac{6 + \frac{11}{4}}{5}

\frac{6 + \frac{11}{4}}{5} = \frac{7}{4}

x = \frac{7}{4}

The solutions to the system of equations are:

x = \frac{7}{4}, y = \frac{11}{4}

x + 6 y = 27, 7 x - 3 y = 9

3 x - 5 y = 20, 6 x - 10 y = 40

3 x - 4 y = - 6, 2 x + 4 y = 16

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

5 x - 2 y = 4, 3 x + 4 y = 18