SOLUTION: I am a math tutor on this site, can someone please help with a method of systems of equations? I need to know the name of this method of solving Ex. . {{{ x + 4y = 20 }}}

Question 169669: I am a math tutor on this site, can someone please help with a method of systems of equations?
I need to know the name of this method of solving
Ex.
.

.

.
First solve for a variable, we will solve for "x" in each equation
.
First equation,
.
, move "4y" to the right side
.
= = or
.
is our first answer, keeping that answer in mind we solve for "x" in the other equation
.
Second equation,
.
, move (-y) to the right side
.
= = or , now divide each side by "2"
.
= =
.
Second answer is , then I would say, since these two answers equal "x" both answers will equal each other, then I would put them in an equation
.
, then I would solve for "y"
.
, then I would show the student the cross multiplication
.
We come up with , then just solve, in which we would get
.
Then I would replace "y", and go through the math, and find that
.
What would you call this method ( when you solve for a variable in both equations, and put your answers together in an equation and solve )
.
Solution set = (20,0)
.
Please don't answer if you don't know the name of this method
.
Thanks ahead of time, Electrified_Levi

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I think "substitution" is the proper label for the method.
Cheers,
Stan H.

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