Question

Part 1:
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution(s) to this system?

Answer 1

Part 2:
Solve the following system and show all of your work.
x − 2y = 14
x + 3y = 9

Answer 2

@Luis_Rivera Help please?

Answer 3

Well, you know that the statement, 1 = 3 is false.

Answer 4

So, when you're solving a system of equations and end up with a false statement, it means that there are no solutions.

Answer 5

Ok! Thanks! So what about Part 2?

Answer 6

Well, there are are multiple methods to solve a system of equations. But I'll show you my favorite.

First, you would solve for one of the variables in one of the equations.

Answer 7

You know, something like x = or y =

Answer 8

The easiest way would be to solve for x in the first equation.

Answer 9

So, what would you get when you solve for x in the first equation?

Answer 10

Add x to both sides

Answer 11

Well, you want to solve for x. So you want to isolate x.

Answer 12

To isolate x, you have to get rid of the -2y.

How would you get rid of the -2y?

Answer 13

You remember how to solve equations right?

You have to do the opposite operation on both sides.

So, if you have something like, 2x = 10, you'd divide by 2 on both sides since multiplication and division are opposites.