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

The solution to 3x+4y=2,3y=2x-8 is x= 38/17 ,y=-20/17

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

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

x = \frac{38}{17}, y = - \frac{20}{17}

Solution steps

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

Isolate

x

for

3 x + 4 y = 2 : x = \frac{2 - 4 y}{3}

Substitute

x = \frac{2 - 4 y}{3}

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

Simplify

[3 y = \frac{2 ( 2 - 4 y )}{3} - 8]

Isolate

y

for

3 y = \frac{2 ( 2 - 4 y )}{3} - 8 : y = - \frac{20}{17}

For

x = \frac{2 - 4 y}{3}

Substitute

y = - \frac{20}{17}

x = \frac{2 - 4 ( - \frac{20}{17} )}{3}

\frac{2 - 4 ( - \frac{20}{17} )}{3} = \frac{38}{17}

x = \frac{38}{17}

The solutions to the system of equations are:

x = \frac{38}{17}, y = - \frac{20}{17}

3 x_{1} + x_{2} = - 4, 6 x_{1} + 2 x_{2} = - 8

e = 12 v, r = 5 r, i = 2 a

x + 3 y = 14, 3 x + 2 y = 21

x = 2 y + 1, 2 x - 2 y = 4

\frac{4}{x} - y + \frac{1}{x} - y = 3, \frac{2}{x} - y - \frac{3}{x} + y = 5