What is -3x+y=9,x-2y=-4 ?

The solution to -3x+y=9,x-2y=-4 is x=-14/5 ,y= 3/5

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-3x+y=9,x-2y=-4

- 3 x + y = 9, x - 2 y = - 4

x = - \frac{14}{5}, y = \frac{3}{5}

Solution steps

[- 3 x + y = 9 x - 2 y = - 4]

Isolate

x

for

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

Substitute

x = - \frac{9 - y}{3}

[- \frac{9 - y}{3} - 2 y = - 4]

Simplify

[\frac{- 9 - 5 y}{3} = - 4]

Isolate

y

for

\frac{- 9 - 5 y}{3} = - 4 : y = \frac{3}{5}

For

x = - \frac{9 - y}{3}

Substitute

y = \frac{3}{5}

x = - \frac{9 - \frac{3}{5}}{3}

- \frac{9 - \frac{3}{5}}{3} = - \frac{14}{5}

x = - \frac{14}{5}

The solutions to the system of equations are:

x = - \frac{14}{5}, y = \frac{3}{5}

8 x = 6, t = 3

4 x + 5 y = 7, 10 x + 3 y = 8

x - 2 y = 1, 2 x - 3 y = 4

3 a + 2 b = 21, 3 a + 10 b = 21

3 x + 7 y = 11, 3 x - 2 y = - 7