Question

Which could be the resulting equation when elimination is used to solve the given system of equations?

5a+5b=25
-5a+5b=35

Answer 1

b. 10b=60

that’s the answer

Answer 2

Hence, we get the equation on elimination as:

10b=60

( Also a= -1 and b=6)

Explanation:

We have to use the elimination method to solve the following system of equation with variables a and b:

5a+5b=25 -------(1)

-5a+5b=35-------(2)

Clearly on adding equation (1) to (2) we get:

5a+5b=25

-5a+5b=35

---------------------------

0+10b=60

i.e. 10b=60 is the equation that we obtain and on solving this we obtain:

b=6 ( since on dividing both side of the equality by 10)

Also, on putting value of b in equation (1) we obtain the value of a as:

5a+5×6=25

5a+30=25

5a=25-30

5a=-5

Hence, a= -1.