What is 3a-2b=1,8-2a+3b=17 ?

The solution to 3a-2b=1,8-2a+3b=17 is a= 21/5 ,b= 29/5

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3a-2b=1,8-2a+3b=17

3 a - 2 b = 1, 8 - 2 a + 3 b = 17

a = \frac{21}{5}, b = \frac{29}{5}

Solution steps

[3 a - 2 b = 1 8 - 2 a + 3 b = 17]

Isolate

a

for

3 a - 2 b = 1 : a = \frac{1 + 2 b}{3}

Substitute

a = \frac{1 + 2 b}{3}

[8 - 2 \cdot \frac{1 + 2 b}{3} + 3 b = 17]

Simplify

[\frac{- 2 + 5 b}{3} + 8 = 17]

Isolate

b

for

\frac{- 2 + 5 b}{3} + 8 = 17 : b = \frac{29}{5}

For

a = \frac{1 + 2 b}{3}

Substitute

b = \frac{29}{5}

a = \frac{1 + 2 \cdot \frac{29}{5}}{3}

\frac{1 + 2 \cdot \frac{29}{5}}{3} = \frac{21}{5}

a = \frac{21}{5}

The solutions to the system of equations are:

a = \frac{21}{5}, b = \frac{29}{5}

2 x + 4 y = 4, x + y = 0

x - 4 y = 5, 5 x + 3 y = 3

(2) a = - 10, b = 10

3 h + 2 i = 8, 2 h + 5 i = - 2

x + y = 30, x - 0.25 y = 21.25

What is 3a-2b=1,8-2a+3b=17 ?
The solution to 3a-2b=1,8-2a+3b=17 is a= 21/5 ,b= 29/5