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

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

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

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

x = 3, y = - 3

Solution steps

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

Isolate

x

for

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

Substitute

x = 1 - \frac{2 y}{3}

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

Simplify

[- \frac{y}{6} + 1 = \frac{3}{2}]

Isolate

y

for

- \frac{y}{6} + 1 = \frac{3}{2} : y = - 3

For

x = 1 - \frac{2 y}{3}

Substitute

y = - 3

x = 1 - \frac{2 ( - 3 )}{3}

1 - \frac{2 ( - 3 )}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 3

x - 2 y + 3 z = 9, - x + 3 y - z = 17

2 x - 3 y = - 5, 5 x + 3 y = 19

5 x + 2 y = 19, 6 x + 5 y = 28

4 p + 3 q - r = 8, 5 p - q + 3 r = 12, 6 p - 7 q + 4 r = 18

x + y = 20, 0 x - 40 = y

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