What is 3x-2y=9, x/3-y/6 = 5/6 ?

The solution to 3x-2y=9, x/3-y/6 = 5/6 is x=1,y=-3

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3x-2y=9, x/3-y/6 = 5/6

3 x - 2 y = 9, \frac{x}{3} - \frac{y}{6} = \frac{5}{6}

x = 1, y = - 3

Solution steps

[3 x - 2 y = 9 \frac{x}{3} - \frac{y}{6} = \frac{5}{6}]

Isolate

x

for

3 x - 2 y = 9 : x = \frac{9 + 2 y}{3}

Substitute

x = \frac{9 + 2 y}{3}

[\frac{\frac{9 + 2 y}{3}}{3} - \frac{y}{6} = \frac{5}{6}]

Simplify

[\frac{18 + y}{18} = \frac{5}{6}]

Isolate

y

for

\frac{18 + y}{18} = \frac{5}{6} : y = - 3

For

x = \frac{9 + 2 y}{3}

Substitute

y = - 3

x = \frac{9 + 2 ( - 3 )}{3}

\frac{9 + 2 ( - 3 )}{3} = 1

x = 1

The solutions to the system of equations are:

x = 1, y = - 3

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

2 x + 3 y = 7, (k - 1) x + (k + 1) y = 3 k - 1

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

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

4 x + 3 y = 7, 7 x - 5 y = 43

What is 3x-2y=9, x/3-y/6 = 5/6 ?
The solution to 3x-2y=9, x/3-y/6 = 5/6 is x=1,y=-3