SOLUTION: i need to solve this systems of equations using substitution X^2+Y^2=25 3X-4X=0

Question 744166: i need to solve this systems of equations using substitution
X^2+Y^2=25
3X-4X=0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The problem is easy.
The only solution to is
--> -->
Substituting into you get ,
which has two solutions: and
The solutions to the system are the two pairs (0,5) and (0,-5), or
and

NOTE:
If the problem had been , the system could be solved similarly, with a little more work.
The answer is not pretty, so that was not the intended problem.
(Classroom problems are supposed to have pretty answers).
In that case, solving for X to substitute in the other equation we get
--> --> to substitute.
So you have
--> -->
At this point, I would multiply both sides to the equal sign times 9 to get rid of fractions. I would get
-->
That equation yields two ugly solutions for Y:

Each ugly Y can be substituted into to get the corresponding ugly X values
for a pair of ugly solutions.
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