What is 3x-5y=7,4x-3y=3 ?

The solution to 3x-5y=7,4x-3y=3 is x=-6/11 ,y=-19/11

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3x-5y=7,4x-3y=3

3 x - 5 y = 7, 4 x - 3 y = 3

x = - \frac{6}{11}, y = - \frac{19}{11}

Solution steps

[3 x - 5 y = 7 4 x - 3 y = 3]

Isolate

x

for

3 x - 5 y = 7 : x = \frac{7 + 5 y}{3}

Substitute

x = \frac{7 + 5 y}{3}

[4 \cdot \frac{7 + 5 y}{3} - 3 y = 3]

Simplify

[\frac{28 + 11 y}{3} = 3]

Isolate

y

for

\frac{28 + 11 y}{3} = 3 : y = - \frac{19}{11}

For

x = \frac{7 + 5 y}{3}

Substitute

y = - \frac{19}{11}

x = \frac{7 + 5 ( - \frac{19}{11} )}{3}

\frac{7 + 5 ( - \frac{19}{11} )}{3} = - \frac{6}{11}

x = - \frac{6}{11}

The solutions to the system of equations are:

x = - \frac{6}{11}, y = - \frac{19}{11}

2 x - 3 y = 14, 5 x + 2 y = 16

2 x + y = 3, 2 x - 3 y = 7

3 x - y = 7 -, x + 4 y = 11

3 x - 2 y = - 7, 4 x - y = - 6

x - y = 20, 8 x - 8 y = 160