What is 32a+6b=27+9,-2a-7b=9 ?

The solution to 32a+6b=27+9,-2a-7b=9 is a= 153/106 ,b=-90/53

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32a+6b=27+9,-2a-7b=9

32 a + 6 b = 27 + 9, - 2 a - 7 b = 9

a = \frac{153}{106}, b = - \frac{90}{53}

Solution steps

[32 a + 6 b = 27 + 9 - 2 a - 7 b = 9]

Isolate

a

for

32 a + 6 b = 27 + 9 : a = \frac{3 ( - b + 6 )}{16}

Substitute

a = \frac{3 ( - b + 6 )}{16}

[- 2 \cdot \frac{3 ( - b + 6 )}{16} - 7 b = 9]

Simplify

[\frac{- 53 b - 18}{8} = 9]

Isolate

b

for

\frac{- 53 b - 18}{8} = 9 : b = - \frac{90}{53}

For

a = \frac{3 ( - b + 6 )}{16}

Substitute

b = - \frac{90}{53}

a = \frac{3 ( - ( - \frac{90}{53} ) + 6 )}{16}

\frac{3 ( - ( - \frac{90}{53} ) + 6 )}{16} = \frac{153}{106}

a = \frac{153}{106}

The solutions to the system of equations are:

a = \frac{153}{106}, b = - \frac{90}{53}

x + y = 4, x - y = 6

15 x + 4 y = 35, 100 x - 9 y = 90

x = 7, y = 2

5 a - 6 b = 9, 4 a - 6 b = 6

2 x + 3 y - 17 = 0, x - 2 y + 9 = 0

What is 32a+6b=27+9,-2a-7b=9 ?
The solution to 32a+6b=27+9,-2a-7b=9 is a= 153/106 ,b=-90/53