What is -21n+3y=6,3n-3y=3 ?

The solution to -21n+3y=6,3n-3y=3 is y=-3/2 ,n=-1/2

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-21n+3y=6,3n-3y=3

- 21 n + 3 y = 6, 3 n - 3 y = 3

y = - \frac{3}{2}, n = - \frac{1}{2}

Solution steps

[- 21 n + 3 y = 6 3 n - 3 y = 3]

Isolate

n

for

- 21 n + 3 y = 6 : n = - \frac{2 - y}{7}

Substitute

n = - \frac{2 - y}{7}

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

Simplify

[\frac{- 6 - 18 y}{7} = 3]

Isolate

y

for

\frac{- 6 - 18 y}{7} = 3 : y = - \frac{3}{2}

For

n = - \frac{2 - y}{7}

Substitute

y = - \frac{3}{2}

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

- \frac{2 - ( - \frac{3}{2} )}{7} = - \frac{1}{2}

n = - \frac{1}{2}

The solutions to the system of equations are:

y = - \frac{3}{2}, n = - \frac{1}{2}

y = - 3, x = 7

3 x - 2 y = 6, 2 x - 3 y = 2

3 \frac{x}{5} + 3 = 5, \frac{x}{9} = 3

3 x - 7 y + 10 = 0, y - 3 x - 3 = 0

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