What is 3x+5y=0,4y=2x+30 ?

The solution to 3x+5y=0,4y=2x+30 is x=-75/11 ,y= 45/11

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3x+5y=0,4y=2x+30

3 x + 5 y = 0, 4 y = 2 x + 30

x = - \frac{75}{11}, y = \frac{45}{11}

Solution steps

[3 x + 5 y = 0 4 y = 2 x + 30]

Isolate

x

for

3 x + 5 y = 0 : x = - \frac{5 y}{3}

Substitute

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

[4 y = 2 (- \frac{5 y}{3}) + 30]

Simplify

[4 y = - \frac{10 y}{3} + 30]

Isolate

y

for

4 y = - \frac{10 y}{3} + 30 : y = \frac{45}{11}

For

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

Substitute

y = \frac{45}{11}

x = - \frac{5 \cdot \frac{45}{11}}{3}

- \frac{5 \cdot \frac{45}{11}}{3} = - \frac{75}{11}

x = - \frac{75}{11}

The solutions to the system of equations are:

x = - \frac{75}{11}, y = \frac{45}{11}

2 x + y = 7, 3 x + 2 y = 12

\frac{9}{x} + \frac{10}{y} = - 11, \frac{7}{x} - \frac{15}{y} = - 4

4 x + 2 y = 9, 8 x + 2 y = 14

x = \frac{17}{11}, z = \frac{4}{121}

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

What is 3x+5y=0,4y=2x+30 ?
The solution to 3x+5y=0,4y=2x+30 is x=-75/11 ,y= 45/11