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Popular >

x+3y=1,-x+y=9

Solution

x + 3 y = 1, - x + y = 9

Solution

x = - \frac{13}{2}, y = \frac{5}{2}

Solution steps

[x + 3 y = 1 - x + y = 9]

Isolate

x

for

x + 3 y = 1 : x = 1 - 3 y

Substitute

x = 1 - 3 y

[- (1 - 3 y) + y = 9]

Simplify

[- 1 + 4 y = 9]

Isolate

y

for

- 1 + 4 y = 9 : y = \frac{5}{2}

For

x = 1 - 3 y

Substitute

y = \frac{5}{2}

x = 1 - 3 \cdot \frac{5}{2}

1 - 3 \cdot \frac{5}{2} = - \frac{13}{2}

x = - \frac{13}{2}

The solutions to the system of equations are:

x = - \frac{13}{2}, y = \frac{5}{2}

Popular Examples

1x-6y=12,y+3x=12,y=12-2x

1 x - 6 y = 12, y + 3 x = 12, y = 12 - 2 x

5x+3y=65,6x-10y=10

5 x + 3 y = 65, 6 x - 10 y = 10

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

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

(0.6)/x+2/y =5, 8/x-1/y =3

\frac{0.6}{x} + \frac{2}{y} = 5, \frac{8}{x} - \frac{1}{y} = 3

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

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

Frequently Asked Questions (FAQ)

What is x+3y=1,-x+y=9 ?
The solution to x+3y=1,-x+y=9 is x=-13/2 ,y= 5/2