SOLUTION: Can you please help me solve/understand the system of equations by substitution? Thanks! 32x-4y=20 y=8x+5

Question 528174: Can you please help me solve/understand the system of equations by substitution? Thanks!

32x-4y=20
y=8x+5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If two things are equal to each other, then you can substitute one for the other any time you like.

Your second equation sets

equal to

So you can substitute the expression

for

whereever it is convenient to do so -- at least within the context of this problem.

That means that you can re-write your first equation thusly:

resulting in an equation in a single variable that can be solved by ordinary means. Once you have determined the value of

, that value can be substituted back into either equation so as to be able to calculate the value of

.

Now that you have a value for

and a value for

, you can create an ordered pair

which is the single element of the solution set of the 2X2 system of equations.

If you have already done all of that and are bothered by the fact that the values of

and

are rather ugly fractions, remember that no one has ever given you a written guarantee that the answers to math problems would always turn out to be nice neat round numbers or fractions with single digit denominators.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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