What is 5x+y=1,4-5x+5y=10 ?

The solution to 5x+y=1,4-5x+5y=10 is x=-1/30 ,y= 7/6

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5x+y=1,4-5x+5y=10

5 x + y = 1, 4 - 5 x + 5 y = 10

x = - \frac{1}{30}, y = \frac{7}{6}

Solution steps

[5 x + y = 1 4 - 5 x + 5 y = 10]

Isolate

x

for

5 x + y = 1 : x = \frac{1 - y}{5}

Substitute

x = \frac{1 - y}{5}

[4 - 5 \cdot \frac{1 - y}{5} + 5 y = 10]

Simplify

[6 y + 3 = 10]

Isolate

y

for

6 y + 3 = 10 : y = \frac{7}{6}

For

x = \frac{1 - y}{5}

Substitute

y = \frac{7}{6}

x = \frac{1 - \frac{7}{6}}{5}

\frac{1 - \frac{7}{6}}{5} = - \frac{1}{30}

x = - \frac{1}{30}

The solutions to the system of equations are:

x = - \frac{1}{30}, y = \frac{7}{6}

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

x + y = 21, 3 x + 7 y = 107

11 x + 13 y = 1, 7 x - y = 0

x + y = 8, 4 x - 3 y = - 10

3 x - 2 y = - 14, 2 x + 3 y = 8

What is 5x+y=1,4-5x+5y=10 ?
The solution to 5x+y=1,4-5x+5y=10 is x=-1/30 ,y= 7/6