SOLUTION: I'm stuck. This problem is not coming out for me. I need help. 4y=3x-13 6x+5y=52

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Question 961590: I'm stuck. This problem is not coming out for me. I need help.
4y=3x-13
6x+5y=52

Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
Let's see if I can help you.
We can solve this system with substitution.
First pay attention to the first equation.
4y=3x-13
Let's arrange it so it looks like "y = ...", so we can plug that value instead of "y" in the second equation. So basically divide 4 from both sides to isolate y.
y=%283%2F4%29x-13%2F4
We can turn those fractions into decimals to make it a bit easier to work with. It depends if you work better with fractions or decimals.
y=0.75x-3.25
Now, plug (0.75x-3.25) instead of y in the second equation:
6x%2B5%280.75x-3.25%29=52
So now we are trying to solve for x.
6x%2B3.75x-16.25=52
9.75x-16.25=52
9.75x=68.25
x=7
So we have x now. But wait, we still haven't found y yet. Simply put 7 instead of x in either of the two equations and solve for y. (We'll use the second equation)
6%287%29%2B5y=52
42%2B5y=52
5y=10
y=2

So there you have it! We now know that x = 7 and y = 2.
Hope I helped.