What is x+y/4 =-1,x+y=1 ?

The solution to x+y/4 =-1,x+y=1 is x=-5/3 ,y= 8/3

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x+y/4 =-1,x+y=1

x + \frac{y}{4} = - 1, x + y = 1

x = - \frac{5}{3}, y = \frac{8}{3}

Solution steps

[x + \frac{y}{4} = - 1 x + y = 1]

Isolate

x

for

x + \frac{y}{4} = - 1 : x = - 1 - \frac{y}{4}

Substitute

x = - 1 - \frac{y}{4}

[- 1 - \frac{y}{4} + y = 1]

Simplify

[\frac{3 y}{4} - 1 = 1]

Isolate

y

for

\frac{3 y}{4} - 1 = 1 : y = \frac{8}{3}

For

x = - 1 - \frac{y}{4}

Substitute

y = \frac{8}{3}

x = - 1 - \frac{\frac{8}{3}}{4}

- 1 - \frac{\frac{8}{3}}{4} = - \frac{5}{3}

x = - \frac{5}{3}

The solutions to the system of equations are:

x = - \frac{5}{3}, y = \frac{8}{3}

2 x + 3 y + 4 z = 3, 2 x + 6 y + 8 z = 5, 4 x + 9 y - 4 z = 4

x + 3 y = 3, 2 x - y = 1.8

x - y + z = - 5, x + 2 y = 4, y - z = - 3

x + 3 y = 1, 2 - 2 x - 4 y = 24

4 x - 2 y = 4, 3 x - 2 y = 5