SOLUTION: I have been trying to do this problem for 45 min and can't seem to get it. I'm solving by addition and i've tried to the variable but to no avail. If you could help me with this, I

Algebra ->  Linear-equations -> SOLUTION: I have been trying to do this problem for 45 min and can't seem to get it. I'm solving by addition and i've tried to the variable but to no avail. If you could help me with this, I      Log On


   



Question 961713: I have been trying to do this problem for 45 min and can't seem to get it. I'm solving by addition and i've tried to the variable but to no avail. If you could help me with this, I'd appreciate it.
The problem is:
4y=3x-13
6x+5y=52
I rewrote the problem to look like this:
3x-4y=13
6x+5y=52
But when I try to isolate a variable x or y my answer is wrong.

Found 2 solutions by Fombitz, addingup:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
How about 3x=4y%2B13?
Double it 6x=8y%2B26.
Now substitute into the second equation,
8y%2B26%2B5y=52
13y=26
Take it from there.
Solve for y.
Then go back and solve for x.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
You have a good start. Now take the equation you re-wrote and multiply all sides times -2:
3x-4y=13
= -6x+8y= -26 Now add:
6x+5y = 52
+-6x+8y=-26
--------------
13y= 26; y= 2
Now we solve for x:
3x-4(2)= 13
3x-8= 13
3x= 21
x= 7
Let's see if we're right, let's plug these numbers into the other equation:
6(7)+5(2)= 52
42+10=52 We've got the right answer.