What is 2x-3y=0,3x+y=10 ?

The solution to 2x-3y=0,3x+y=10 is x= 30/11 ,y= 20/11

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2x-3y=0,3x+y=10

2 x - 3 y = 0, 3 x + y = 10

x = \frac{30}{11}, y = \frac{20}{11}

Solution steps

[2 x - 3 y = 0 3 x + y = 10]

Isolate

x

for

2 x - 3 y = 0 : x = \frac{3 y}{2}

Substitute

x = \frac{3 y}{2}

[3 \cdot \frac{3 y}{2} + y = 10]

Simplify

[\frac{11 y}{2} = 10]

Isolate

y

for

\frac{11 y}{2} = 10 : y = \frac{20}{11}

For

x = \frac{3 y}{2}

Substitute

y = \frac{20}{11}

x = \frac{3 \cdot \frac{20}{11}}{2}

\frac{3 \cdot \frac{20}{11}}{2} = \frac{30}{11}

x = \frac{30}{11}

The solutions to the system of equations are:

x = \frac{30}{11}, y = \frac{20}{11}

x = \frac{1}{3} y, y = \frac{1}{2 z}

x + 5 y = 1, 6 x + 3 y = 10

4 x - 5 y - 20 = 0, 3 x + 5 y - 15 = 0

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

2 x + 3 y = 8, 7 x - 3 y = 1