How do you solve #x+y=3#; #x+2y=5#?
1 Answer
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We can solve for the values of x and y using the 'Elimination by Substitution' method.
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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
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We Substitute this value of
#y# in (1) to get
#x+2=3#
#x=3-2#
#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.