What is 2x+y=1,-x+2y=9 ?

The solution to 2x+y=1,-x+2y=9 is x=-7/5 ,y= 19/5

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2x+y=1,-x+2y=9

2 x + y = 1, - x + 2 y = 9

x = - \frac{7}{5}, y = \frac{19}{5}

Solution steps

[2 x + y = 1 - x + 2 y = 9]

Isolate

x

for

2 x + y = 1 : x = \frac{1 - y}{2}

Substitute

x = \frac{1 - y}{2}

[- \frac{1 - y}{2} + 2 y = 9]

Simplify

[\frac{- 1 + 5 y}{2} = 9]

Isolate

y

for

\frac{- 1 + 5 y}{2} = 9 : y = \frac{19}{5}

For

x = \frac{1 - y}{2}

Substitute

y = \frac{19}{5}

x = \frac{1 - \frac{19}{5}}{2}

\frac{1 - \frac{19}{5}}{2} = - \frac{7}{5}

x = - \frac{7}{5}

The solutions to the system of equations are:

x = - \frac{7}{5}, y = \frac{19}{5}

x + 2 y = 3, 2 x + y = 6

x + 2 y = 9, 3 x - 2 y = - 5

x + y = 6, x = 1 y - 2

2 x + 3 y = 13, 2 x + y = 7

x + y + 1 = 0, x - y + 1 = 0