What is 6x+3y=36,-4x+5y=-30 ?

The solution to 6x+3y=36,-4x+5y=-30 is x= 45/7 ,y=-6/7

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6x+3y=36,-4x+5y=-30

6 x + 3 y = 36, - 4 x + 5 y = - 30

x = \frac{45}{7}, y = - \frac{6}{7}

Solution steps

[6 x + 3 y = 36 - 4 x + 5 y = - 30]

Isolate

x

for

6 x + 3 y = 36 : x = \frac{12 - y}{2}

Substitute

x = \frac{12 - y}{2}

[- 4 \cdot \frac{12 - y}{2} + 5 y = - 30]

Simplify

[7 y - 24 = - 30]

Isolate

y

for

7 y - 24 = - 30 : y = - \frac{6}{7}

For

x = \frac{12 - y}{2}

Substitute

y = - \frac{6}{7}

x = \frac{12 - ( - \frac{6}{7} )}{2}

\frac{12 - ( - \frac{6}{7} )}{2} = \frac{45}{7}

x = \frac{45}{7}

The solutions to the system of equations are:

x = \frac{45}{7}, y = - \frac{6}{7}

152 x - 378 y = - 7, 4 - 378 x + 152 y = - 604

4 m + g = 2, 0.808 m + 4 g = 7.2

3 x - 9 y = 21, 3 x - 3 y = 15

- 2 x + y = - 6, - 3 x - y = 1

4 x + 3 y = 37, 4 x + 2 y = - 2

What is 6x+3y=36,-4x+5y=-30 ?
The solution to 6x+3y=36,-4x+5y=-30 is x= 45/7 ,y=-6/7