What is 5a-5b=1, 4/5 a+2b=-23 ?

The solution to 5a-5b=1, 4/5 a+2b=-23 is a=-113/14 ,b=-579/70

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5a-5b=1, 4/5 a+2b=-23

5 a - 5 b = 1, \frac{4}{5} a + 2 b = - 23

a = - \frac{113}{14}, b = - \frac{579}{70}

Solution steps

[5 a - 5 b = 1 \frac{4}{5} a + 2 b = - 23]

Isolate

a

for

5 a - 5 b = 1 : a = \frac{1 + 5 b}{5}

Substitute

a = \frac{1 + 5 b}{5}

[\frac{4}{5} \cdot \frac{1 + 5 b}{5} + 2 b = - 23]

Simplify

[\frac{4 + 70 b}{25} = - 23]

Isolate

b

for

\frac{4 + 70 b}{25} = - 23 : b = - \frac{579}{70}

For

a = \frac{1 + 5 b}{5}

Substitute

b = - \frac{579}{70}

a = \frac{1 + 5 ( - \frac{579}{70} )}{5}

\frac{1 + 5 ( - \frac{579}{70} )}{5} = - \frac{113}{14}

a = - \frac{113}{14}

The solutions to the system of equations are:

a = - \frac{113}{14}, b = - \frac{579}{70}

13 x + 12 y = 38, 12 x - 13 y = 38

6 \cdot \frac{7}{( 2 x + 2 y )} = 3, x = 2

(11) 2 x + y = 8, x - 2 y = - 1

b = 12, a = 9

4 x + 3 y = 1, x + 3 y = 4

What is 5a-5b=1, 4/5 a+2b=-23 ?
The solution to 5a-5b=1, 4/5 a+2b=-23 is a=-113/14 ,b=-579/70