Answer:
Hence, we get the equation on elimination as:
10b=60
( Also a= -1 and b=6)
Step-by-step 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.
