What is -2x+y=8,x-4y=-5 ?

The solution to -2x+y=8,x-4y=-5 is x=-27/7 ,y= 2/7

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-2x+y=8,x-4y=-5

- 2 x + y = 8, x - 4 y = - 5

x = - \frac{27}{7}, y = \frac{2}{7}

Solution steps

[- 2 x + y = 8 x - 4 y = - 5]

Isolate

x

for

- 2 x + y = 8 : x = - \frac{8 - y}{2}

Substitute

x = - \frac{8 - y}{2}

[- \frac{8 - y}{2} - 4 y = - 5]

Simplify

[\frac{- 8 - 7 y}{2} = - 5]

Isolate

y

for

\frac{- 8 - 7 y}{2} = - 5 : y = \frac{2}{7}

For

x = - \frac{8 - y}{2}

Substitute

y = \frac{2}{7}

x = - \frac{8 - \frac{2}{7}}{2}

- \frac{8 - \frac{2}{7}}{2} = - \frac{27}{7}

x = - \frac{27}{7}

The solutions to the system of equations are:

x = - \frac{27}{7}, y = \frac{2}{7}

89 x + 91 y = 44, 991 x + 89 y = 451

2 x - 3 y = 10, 0.4 x - y = 10

x + 2 y = 2, - x + y = 10

x + 2 y = 5, 2 x - 2 y = 10

\frac{x}{10} + \frac{y}{5} = 1, 4 \frac{x}{8} + \frac{y}{6} = 15