How do you solve #x+y=3#; #x+2y=5#?
1 Answer

We can solve for the values of x and y using the 'Elimination by Substitution' method.

Let's number the equations first:
#x+y=3# (1)
#x+2y=5# (2)
In (1), by transposing
Substituting this value of
Here, we eliminated

We Substitute this value of
#y# in (1) to get
#x+2=3#
#x=32#
#x=1# 
The Solution for the equations (1) and (2) is:
#x=1 , y=2# 
Once we arrive at a solution, it is a good idea to VERIFY our answer
Substituting
Left Hand Side:
Substituting
Left Hand Side:
We have verified our answer, and we can be sure that it's correct.