Question

4x-6y=2
5x+3y=1

Solve the system using any algebraic method

Answer 1

Use the Elimination Method. If you look at the y's you will see that if you multiply the second equation by the first you will have opposites, so multiply the second equation by 2.

Answer 2

why multiply by 2?

Answer 3

\[4x-6y=2\]
\[10x+6y=2\]

Answer 4

to use elimination you need to have the numbers in front of one of the variables either the same or with just different signs, and the best way to do that is to multiply the second equation by 2, make sense?

Answer 5

And so I get 10x+6y=2? y= 1/7 right?

Answer 6

oh i see okay :p

Answer 7

so now you are going to add together the two equations and by doing this the y will go away

Answer 8

\[14x=4\]

Answer 9

and you divide both sides by 14, correct?

Answer 10

yeah, and so x will be 1/7, not y.

Answer 11

to find y you just plug in x=1/7 to either of the original equations and solve for y

Answer 12

okay I get it now, thanks

Answer 13

Welcome

Answer 14

I have a similar problem to that, do I do the same thing to it also

Answer 15

The problem is
4x+6y=8
2x+3y=3

Answer 16

Ok, so you need to look at the numbers in front of the letters. Is there any pair that you can multiply one of the numbers to get the other number?

Answer 17

-2?

Answer 18

to cancel out the x

Answer 19

Good, so that would be multiplying the second equestion by -2.
Go ahead, this one is going to be tricky, but don't worry.

Answer 20

I got
4x+6y=8
-4x+3y=-6, so would it be no solution

Answer 21

You are correct that it would be no solution, you have a small error on your second equation, it should be -6y, incase you need to show your work.

Answer 22

yea thats what I meant to put, I have to go now, but I would really like it if you could message me or something so you could help me with all the other problems

Answer 23

You could follow me, i am not on that often now that it is summer.