SOLUTION: Hi Checkley, Are you still there? I have one more problem involving integers. This particular problem: The sume of the two integers and then the second is 8 more than 3 times

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Question 111747: Hi Checkley,
Are you still there? I have one more problem involving integers. This particular problem: The sume of the two integers and then the second is 8 more than 3 times the first.
So, I think that I should also set up this problem similar.
I worked it out and I know my answer was wrong.
Here is what I did.
The sume of two numbers is 76. The second is 8 more than 3 times the first.
What are the two numbers?
I put
x+y = 76
y= 3x+8
Is that correct? I am not certain how to deal with this problem correctly.
is there any way you can help me with this one.
Thank you Checkley.
Tracy
Found 3 solutions by jim_thompson5910, checkley71, kalyanam:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You set it up correctly


Start with the given system
x%2By=76
y=3x%2B8



x%2B%283x%2B8%29=76 Plug in y=3x%2B8 into the first equation. In other words, replace each y with 3x%2B8. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


4x%2B8=76 Combine like terms on the left side


4x=76-8Subtract 8 from both sides


4x=68 Combine like terms on the right side


x=%2868%29%2F%284%29 Divide both sides by 4 to isolate x



x=17 Divide




Now that we know that x=17, we can plug this into y=3x%2B8 to find y



y=3%2817%29%2B8 Substitute 17 for each x


y=59 Simplify


So our answer is x=17 and y=59


So our two numbers are 17 and 59


Check:

17%2B59=76

76=76 works

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x+8 substitute (3x+8) for y in the other equation.
x+(3x+8)=76
x+3x+8=76
4x=76-8
4x=68
x=68/4
x=17 answer.
y=3*17+8
y=51+8
y=59 answer.
proof
17+59=76
76=76

Answer by kalyanam(1) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=76
y=3x+8
y-3x = 8 subtract y+x = 76
-4x= -68
x= 17
y=76-17
y= 59