What is x/2+y=0,x-y/3 = 1/2 ?

The solution to x/2+y=0,x-y/3 = 1/2 is x= 3/7 ,y=-3/14

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x/2+y=0,x-y/3 = 1/2

\frac{x}{2} + y = 0, x - \frac{y}{3} = \frac{1}{2}

x = \frac{3}{7}, y = - \frac{3}{14}

Solution steps

[\frac{x}{2} + y = 0 x - \frac{y}{3} = \frac{1}{2}]

Isolate

x

for

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

Substitute

x = - 2 y

[- 2 y - \frac{y}{3} = \frac{1}{2}]

Simplify

[- \frac{7 y}{3} = \frac{1}{2}]

Isolate

y

for

- \frac{7 y}{3} = \frac{1}{2} : y = - \frac{3}{14}

For

x = - 2 y

Substitute

y = - \frac{3}{14}

x = - 2 (- \frac{3}{14})

- 2 (- \frac{3}{14}) = \frac{3}{7}

x = \frac{3}{7}

The solutions to the system of equations are:

x = \frac{3}{7}, y = - \frac{3}{14}

7 x + 3 y = 46, 12 x - 5 y = 18

a = 4, b = 2

4 x - y = 8, x + y = 7

4 x - 2 y = 20, - 5 x - 5 y = - 10

5 x - 4 y = 3, - 10 x + 8 y = - 6

What is x/2+y=0,x-y/3 = 1/2 ?
The solution to x/2+y=0,x-y/3 = 1/2 is x= 3/7 ,y=-3/14