Question

List the three methods for solving equations and give a brief explanation of each method.

Answer 1

Three methods for solving SYSTEMS of equations?

Answer 2

Yes

Answer 3

Hang on

Answer 4

Ok

Answer 5

1. By Elimination:
If you have a system of the form:
3x `+ 2y` = 4
4x `- 2y ` = 10

you notice that 2y and -2y are opposites, then you combine the equations together to eliminate the y variable. When you do that, you get:

7x = 14

Solving for x to get x = 2, which means y = -1

2. By substitution
If you have a system of the form:
x = `2y + 4`
2x - y = 8

Then you notice that one of the variables is isolated. In this case, x is isolated in the first equation, therefore you substitute the expression for x into the second equation to get:

2( `2y + 4`) - y = 8

Then solve for y:
4y + 8 - y = 8
4y - y + 8 = 8
3y = 8 - 8
3y = 0
y = 0/3
y = 0

So y = 0. Substituting y back in to the original equation yields x = 4

By graphing:
If you have a system of the form
y = 2x + 4
y = 7x - 3

You can solve the system by graphing since both equations are in the form
y = mx + b to find the solution point (x,y).

Answer 6

Thank You!