What is 7x-15y=1,-x+6y=8 ?

The solution to 7x-15y=1,-x+6y=8 is x= 14/3 ,y= 19/9

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7x-15y=1,-x+6y=8

7 x - 15 y = 1, - x + 6 y = 8

x = \frac{14}{3}, y = \frac{19}{9}

Solution steps

[7 x - 15 y = 1 - x + 6 y = 8]

Isolate

x

for

7 x - 15 y = 1 : x = \frac{1 + 15 y}{7}

Substitute

x = \frac{1 + 15 y}{7}

[- \frac{1 + 15 y}{7} + 6 y = 8]

Simplify

[\frac{- 1 + 27 y}{7} = 8]

Isolate

y

for

\frac{- 1 + 27 y}{7} = 8 : y = \frac{19}{9}

For

x = \frac{1 + 15 y}{7}

Substitute

y = \frac{19}{9}

x = \frac{1 + 15 \cdot \frac{19}{9}}{7}

\frac{1 + 15 \cdot \frac{19}{9}}{7} = \frac{14}{3}

x = \frac{14}{3}

The solutions to the system of equations are:

x = \frac{14}{3}, y = \frac{19}{9}

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