What is 3x+y=6,x-3y=-1 ?

The solution to 3x+y=6,x-3y=-1 is x= 17/10 ,y= 9/10

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3x+y=6,x-3y=-1

3 x + y = 6, x - 3 y = - 1

x = \frac{17}{10}, y = \frac{9}{10}

Solution steps

[3 x + y = 6 x - 3 y = - 1]

Isolate

x

for

3 x + y = 6 : x = \frac{6 - y}{3}

Substitute

x = \frac{6 - y}{3}

[\frac{6 - y}{3} - 3 y = - 1]

Simplify

[\frac{6 - 10 y}{3} = - 1]

Isolate

y

for

\frac{6 - 10 y}{3} = - 1 : y = \frac{9}{10}

For

x = \frac{6 - y}{3}

Substitute

y = \frac{9}{10}

x = \frac{6 - \frac{9}{10}}{3}

\frac{6 - \frac{9}{10}}{3} = \frac{17}{10}

x = \frac{17}{10}

The solutions to the system of equations are:

x = \frac{17}{10}, y = \frac{9}{10}

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

\frac{1}{15} b = - \frac{7}{6}, a = 1

x - 5 y = 31, 3 x + 5 y = - 7

x - y = 1, x - 3 y = - 3

x + y = 5, 2 x - 3 y = 1