Question

3a+5b =10 and
3a-2b= 7

Answer 1

Hey dear,

Here is your answer.....

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3a + 5b = 10 .............. (1.)
3a - 2b = 7 ................. (2.)

subtract these two equations...
3a + 5b -3a + 2b = 10 - 7
7b = 3
b = 3/7

now put value of b in equation. 1
3a = 10 - 15/7
3a = (70-15)/7
3a= 55/7
a= 55/21.

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Hope it helps you...

Thanks..
^_^

Answer 2

3a+5b=10.....×2
3a-2b=7 ......×5

6a+10b=20
15a-10b=35

21a=55

a=55/21

Putting value of a in equation 1

-b= (7-3a)/2
=(147-165)/42
-b= -18/42
b=3/7

$\huge {\bold{\red{a=55/21 \: &\: b=3/7}}}$