What is 72x+3y=6,3x-2y=7 ?

The solution to 72x+3y=6,3x-2y=7 is x= 11/51 ,y=-54/17

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72x+3y=6,3x-2y=7

72 x + 3 y = 6, 3 x - 2 y = 7

x = \frac{11}{51}, y = - \frac{54}{17}

Solution steps

[72 x + 3 y = 6 3 x - 2 y = 7]

Isolate

x

for

72 x + 3 y = 6 : x = \frac{2 - y}{24}

Substitute

x = \frac{2 - y}{24}

[3 \cdot \frac{2 - y}{24} - 2 y = 7]

Simplify

[\frac{2 - 17 y}{8} = 7]

Isolate

y

for

\frac{2 - 17 y}{8} = 7 : y = - \frac{54}{17}

For

x = \frac{2 - y}{24}

Substitute

y = - \frac{54}{17}

x = \frac{2 - ( - \frac{54}{17} )}{24}

\frac{2 - ( - \frac{54}{17} )}{24} = \frac{11}{51}

x = \frac{11}{51}

The solutions to the system of equations are:

x = \frac{11}{51}, y = - \frac{54}{17}

- 7 x + 6 y = - 2, 9 x + 3 y = 8

x - y = 2, 3 x + 4 y = 27

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

x - y + 3 = 2, x + 3 y - 4 = 0

x + y = 4, x - y = 8

What is 72x+3y=6,3x-2y=7 ?
The solution to 72x+3y=6,3x-2y=7 is x= 11/51 ,y=-54/17