What is 5x+7y=17,3x-7y=10 ?

The solution to 5x+7y=17,3x-7y=10 is x= 27/8 ,y= 1/56

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5x+7y=17,3x-7y=10

5 x + 7 y = 17, 3 x - 7 y = 10

x = \frac{27}{8}, y = \frac{1}{56}

Solution steps

[5 x + 7 y = 17 3 x - 7 y = 10]

Isolate

x

for

5 x + 7 y = 17 : x = \frac{17 - 7 y}{5}

Substitute

x = \frac{17 - 7 y}{5}

[3 \cdot \frac{17 - 7 y}{5} - 7 y = 10]

Simplify

[\frac{51 - 56 y}{5} = 10]

Isolate

y

for

\frac{51 - 56 y}{5} = 10 : y = \frac{1}{56}

For

x = \frac{17 - 7 y}{5}

Substitute

y = \frac{1}{56}

x = \frac{17 - 7 \cdot \frac{1}{56}}{5}

\frac{17 - 7 \cdot \frac{1}{56}}{5} = \frac{27}{8}

x = \frac{27}{8}

The solutions to the system of equations are:

x = \frac{27}{8}, y = \frac{1}{56}

\frac{1}{3} \cdot x - \frac{1}{3} \cdot y = - \frac{1}{3}, - \frac{1}{7} \cdot x + \frac{1}{8} \cdot y = \frac{2}{7}

x + y - 2 z = 8, 2 x - y + z = 3, 3 x + y + 2 z = 6

- m + n = - 1, 4 m - 2 n = 5

4 (x - y) = - 2, 3 x - 7 y = - 25 - 2 (x + y)

x - y = 3, 2 x + 4 y = 12

What is 5x+7y=17,3x-7y=10 ?
The solution to 5x+7y=17,3x-7y=10 is x= 27/8 ,y= 1/56