What is 5a+b=21,2a+3b=24s ?

The solution to 5a+b=21,2a+3b=24s is a=(3(-8s+21))/(13),b=(120s-42)/(13)

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5a+b=21,2a+3b=24s

5 a + b = 21, 2 a + 3 b = 24 s

a = \frac{3 ( - 8 s + 21 )}{13}, b = \frac{120 s - 42}{13}

Solution steps

[5 a + b = 21 2 a + 3 b = 24 s]

Isolate

a

for

5 a + b = 21 : a = \frac{21 - b}{5}

Substitute

a = \frac{21 - b}{5}

[2 \cdot \frac{21 - b}{5} + 3 b = 24 s]

Simplify

[\frac{42 + 13 b}{5} = 24 s]

Isolate

b

for

\frac{42 + 13 b}{5} = 24 s : b = \frac{120 s - 42}{13}

For

a = \frac{21 - b}{5}

Expressing

a

in terms of

s

a = \frac{21 - \frac{120 s - 42}{13}}{5}

Simplify

\frac{21 - \frac{120 s - 42}{13}}{5} : \frac{3 ( - 8 s + 21 )}{13}

a = \frac{3 ( - 8 s + 21 )}{13}

The solutions to the system of equations are:

a = \frac{3 ( - 8 s + 21 )}{13}, b = \frac{120 s - 42}{13}

(\frac{x}{5}) + y + 2 = 0, (\frac{x}{3}) - y - 10 = 0

a = - 3, b = - 6, c = - 2

x - y = z, y = 4 z, x + y = 81

a + b = 3, b + c = 4, c + a = 5

2 x - 3 y = - 16, 5 x + 3 y = 2

What is 5a+b=21,2a+3b=24s ?
The solution to 5a+b=21,2a+3b=24s is a=(3(-8s+21))/(13),b=(120s-42)/(13)