What is 16a-13b=-10,3a+5b=-8 ?

The solution to 16a-13b=-10,3a+5b=-8 is a=-22/17 ,b=-14/17

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16a-13b=-10,3a+5b=-8

16 a - 13 b = - 10, 3 a + 5 b = - 8

a = - \frac{22}{17}, b = - \frac{14}{17}

Solution steps

[16 a - 13 b = - 10 3 a + 5 b = - 8]

Isolate

a

for

16 a - 13 b = - 10 : a = \frac{- 10 + 13 b}{16}

Substitute

a = \frac{- 10 + 13 b}{16}

[3 \cdot \frac{- 10 + 13 b}{16} + 5 b = - 8]

Simplify

[\frac{- 30 + 119 b}{16} = - 8]

Isolate

b

for

\frac{- 30 + 119 b}{16} = - 8 : b = - \frac{14}{17}

For

a = \frac{- 10 + 13 b}{16}

Substitute

b = - \frac{14}{17}

a = \frac{- 10 + 13 ( - \frac{14}{17} )}{16}

\frac{- 10 + 13 ( - \frac{14}{17} )}{16} = - \frac{22}{17}

a = - \frac{22}{17}

The solutions to the system of equations are:

a = - \frac{22}{17}, b = - \frac{14}{17}

3 x + 2 y = 5, - y = - 7

3 x + 2 y = 5, + 3 y = 2 x + 11

43 x + 31 y = 167, 31 x + 43 y = 203

2 x + 3 y = 23, 4 x - 3 y = 1

2 a + b = 4, - 3 a + b = - 11

What is 16a-13b=-10,3a+5b=-8 ?
The solution to 16a-13b=-10,3a+5b=-8 is a=-22/17 ,b=-14/17