Substitution is the worst way to solve a system which
does not have any letters with coefficient of 1 or -1.
Such systems are much easier solved by elimination.
However, since you specified to do it by substitution,
I will do so, but it will be much more difficult, as
it will involve lots of work with fractions. Here goes:
Solve the first equation for x
Substitute for
Cancel the 2 into the 4 and get a 2 where the 4 is
Distribute to remove the parentheses:
Combine like terms:
Add -10 to both sides:
Divide both sides by
Cancel the 's, and simplify the right side
Now we substitute for into
Cancel the 3 into the
Simplify the compound fraction by multiplying
the numerator and denominator by the LCD of 5
Distribute the 5 into the parentheses, and write 10 for the
denominator :
Write 25 for 5*5 and cancel the 5's in the second
term on top:
We reduce the fraction:
So the solution is ,
But that is by far the hardest way to solve a
system of equations which has none of the terms
x, -x, y, or -y. The easist way would be the
elimination method.
Edwin