What is x+5y=15,2x-3y=1 ?

The solution to x+5y=15,2x-3y=1 is x= 50/13 ,y= 29/13

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x+5y=15,2x-3y=1

x + 5 y = 15, 2 x - 3 y = 1

x = \frac{50}{13}, y = \frac{29}{13}

Solution steps

[x + 5 y = 15 2 x - 3 y = 1]

Isolate

x

for

x + 5 y = 15 : x = 15 - 5 y

Substitute

x = 15 - 5 y

[2 (15 - 5 y) - 3 y = 1]

Simplify

[30 - 13 y = 1]

Isolate

y

for

30 - 13 y = 1 : y = \frac{29}{13}

For

x = 15 - 5 y

Substitute

y = \frac{29}{13}

x = 15 - 5 \cdot \frac{29}{13}

15 - 5 \cdot \frac{29}{13} = \frac{50}{13}

x = \frac{50}{13}

The solutions to the system of equations are:

x = \frac{50}{13}, y = \frac{29}{13}

\frac{x}{2} - \frac{y}{5} = 4, \frac{x}{7} + \frac{y}{15} = 3

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