Question

What is the value of the x variable in the solution to the following system of equations?

2x − 3y = 3
5x − 4y = 4

−1

0

x can be any number as there are infinitely many solutions to this system

There is no x value as there is no solution to this system

Answer 1

Ok, what I would do is solve one of the equations for one variable and then plug it into the other equation. Do you think you could do that?

Answer 2

Actually, correction, I would solve for y in one and plug it into the other.

Answer 3

I would say substitution but that is going to be fractions so try this
2x − 3y = 3
5x − 4y = 4

multiply the first equation by -4 and the second by 3
-8x+12y=-12
15x-12y=12
add the two equations to cancel the y terms
7x=0
so what is x?

Answer 4

0

Answer 5

correct ,do you see how I did it?

Answer 6

yes, thank you! can you help me with one more?

Answer 7

I made it so that the y terms would cancel when we add the equations...

Answer 8

close this and post another question.

Answer 9

The way I did it is the way that you avoided, but I personally love fractions as they are fun to me.
All the same, I arrived at the same conclusion.

Answer 10

yeah I like em as well, but people like us are few and far between:)