2. solve the following simultaneously equation
(1) 3a+5b=26; a+5b=22
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Answers
Answer:
a =2 and b = 4
Step-by-step explanation:
use elimination method -
let us consider equations
3a + 5b = 26 ------------ (i)
a + 5b = 22 ---------------(ii)
now when you subtract equation ii form first then sign of second equation will be changed....
3a + 5b = 26 ------------ (i)
- a - 5b = -22 ---------------(ii)
then you'll get..
3a + 5b- a - 5b = 26-22
2a = 4
a = 2, now by putting a = 2 in any equation you can find b
let put in equation 1
3(2) + 5b = 26
5b = 20
b = 4.
Answer:
the value of a =2, value of b=4
Step-by-step explanation:
Given pair of linear equations are:
3a+5b =26......(1)
a+5b=22
=>a = 22-5b.......(2) substitute the value of a in the equation (1)
then we have, 3(22-5b)+5b=26
=>66-15b+5b=26
=>66-10b=26
=>-10b=26-66
=>-10b=-40
=>b=-40/-10
therefore, b=4
now we substitute the value of b in the equation (2),then we get
a=22-5(4)
=>a=22-20
therefore a=2
check:
(3×2)+(5×4)=6+20=26
2+(5×4)=2+20=22