SOLUTION: I'm a homeschooling mom trying to help my daughter, but this problem we just can't understand. We need to solve(find the system of equations) first by graphing and then by adding o

Question 53302: I'm a homeschooling mom trying to help my daughter, but this problem we just can't understand. We need to solve(find the system of equations) first by graphing and then by adding or subtracting.
The problem is:
6X-4y=28
4X+9y=-6
We first decided to make X the same so we ended up with
24X-16y=112
24x+54Y=-36
Then we isolated the 24x so we ended up with
24x=112=16y
24x=-36-54y
I think then we have to take 24 by division off from the x side,but I just can't seem to make any sense out of it.
Thanks for your help.
Tina
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The problem is:
1st: 6X-4y=28
2nd: 4X+9y=-6
We first decided to make X the same so we ended up with
3rd: 24X-16y=112
4th: 24x+54Y=-36
Now subtract 3rd from 4th to get:
70Y=-148
Divide both sides by 70 to get:
Y=-74/35
Substitute that into 1st or 2nd to solve for X, as follow:
6X-4(-74/35)=28
6X+296/35 = 28
Multiply by 35 to get:
210X+296=980
210X=684
X=114/35
Check the answer with 2nd, as follows:
4X+9Y=-6
4(114/35)+9(-74/35)=-6
-6=-6
Cheers,
Stan H.

RELATED QUESTIONS
Thanks for your help. I am a mom trying to help my daughter and we both are stuck on... (answered by ankor@dixie-net.com)

I am trying to help my son with his homework but the book does not show an example for... (answered by Earlsdon,khloe)

Hi. I'm home sick today. I'm trying to keep up with my algebra homework. My mom and I... (answered by Alan3354,jim_thompson5910,likaaka)

Please help with part (a). I understand that I need to use a students t bar but my... (answered by stanbon)

my mom is trying to help me with this problem, but we are not good at it. Can you... (answered by stanbon)

So I was absent at school today so I missed an Algebra lesson. We are learning how we can (answered by Theo,MathTherapy)

My students and I solved most of the problems on this page but this one we just can;t... (answered by Nate)

Yes I am a homeschooling mom and I have the answer key to this problem but when my... (answered by nerdybill,Alan3354)

I have the following problem: 3x5+4-2x2+6-4=15 I need to insert parentheses and... (answered by math_helper)