SOLUTION: Which process would you use to solve both of the following systems of equations, the addition method or the substitution method? Are they both applicable to use, or would one metho
Algebra.Com
Question 141596: Which process would you use to solve both of the following systems of equations, the addition method or the substitution method? Are they both applicable to use, or would one method be easier to use than the other? Please EXPLAIN your responses.
System 1:
x + y = 7
x - y = 9
System 2:
3x - 4y = 11
-2x + 3y = -7
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Both systems are always available for you to use.
They will give you the same results.
Sometimes one method is faster than another.
For system 1, addition is fastest because you have positive y in one equation and negative y in the other.
Adding them together cancels y's out.
Add the two together to get.
For system 2, addition is also faster, but requires some multiplication first.
In this case, substitution would give you nasty fractions and more multiplication.
It's not impossible, but it can become cumbersome and easy to make a mistake.
Multiply the first by 3, the second by 4, then add.
RELATED QUESTIONS
Systems of equations can be solved by graphing or by using substitution or elimination.... (answered by Edwin McCravy)
Systems of equations can be solved by graphing or by using substitution or elimination.... (answered by Mathtut)
I would like you opinion on which method would you prefer to use when solving systems of... (answered by elima)
Systems of equations can be solved by graphing or by using substitution or elimination.... (answered by Mathtut)
Systems of equations can be solved by graphing or by using substitution or elimination.... (answered by solver91311)
I know how to solve systems of linear equations using the substitution method, the... (answered by Earlsdon)
Im doing a practice test to study for my real test. I would like to know if i got th... (answered by MathLover1)
Explain how you would use the substitution method to solve the following system of... (answered by richwmiller)
Using the addition (elimination) method to solve systems of equations .
6x-4y=11... (answered by vleith)