10x + 15y=650 x+y=50 solve

Question

need to check if doing right thank you

Answer 1

Hi Lila,

 

I think these equations came from the previous word problem that I got you started with, I would be happy to help you solve the rest of it.

 

10x + 15y=650

x+y=50

 

First solve either of the equations for one of the variables, I will choose to solve the second equation for x.

 

x+y=50

x=50-y

 

Now looking at the first equation plug in this new expression for x, (50-y), wherever you see a x.

 

10(50-y) + 15y=650

 

500 - 10y +15y =650

 

500 + 5y =650

 

5y = 150

 

y=30

 

now that you have solved for y, plug that into x=50-y to solve for x

 

x=50-30=20

 

 

I hope this helps