What is 5x+3y=1,4x-2y=8 ?

The solution to 5x+3y=1,4x-2y=8 is x= 13/11 ,y=-18/11

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5x+3y=1,4x-2y=8

5 x + 3 y = 1, 4 x - 2 y = 8

x = \frac{13}{11}, y = - \frac{18}{11}

Solution steps

[5 x + 3 y = 1 4 x - 2 y = 8]

Isolate

x

for

5 x + 3 y = 1 : x = \frac{1 - 3 y}{5}

Substitute

x = \frac{1 - 3 y}{5}

[4 \cdot \frac{1 - 3 y}{5} - 2 y = 8]

Simplify

[\frac{4 - 22 y}{5} = 8]

Isolate

y

for

\frac{4 - 22 y}{5} = 8 : y = - \frac{18}{11}

For

x = \frac{1 - 3 y}{5}

Substitute

y = - \frac{18}{11}

x = \frac{1 - 3 ( - \frac{18}{11} )}{5}

\frac{1 - 3 ( - \frac{18}{11} )}{5} = \frac{13}{11}

x = \frac{13}{11}

The solutions to the system of equations are:

x = \frac{13}{11}, y = - \frac{18}{11}

\frac{x}{5} - \frac{y}{4} = 0, 3 x + \frac{y}{2} = 17

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

3 - \frac{x}{8} = 5, \frac{x}{8} = 5 \frac{x}{2} - \frac{2}{3} (x - 4) + 5

x - 1 = 3, y - 2 = 9

3 x - y - \frac{3}{5} = 6, 3 y - x - \frac{2}{7} = 9