An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below.
y = x + 12
y = −x + 17
Which of the following statements is a correct step to find x and y?
Multiply the equations to eliminate y.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Add the equations to eliminate x.

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- NathaliaMA13

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- NathaliaMA13

@Michele_Laino Are you busy? can you please explain to me how I solve this?

- anonymous

Add the equations to eliminate x.

- anonymous

By eye ball, y = 29/2

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## More answers

- NathaliaMA13

I understand now. Thanks so much @robtobey

- Michele_Laino

If I add those equations, I get:
\[\Large y + y = x + 12 - x + 17\]
please simplify

- NathaliaMA13

\[y ^{2} = 29/2 ?? \]

- Michele_Laino

no, we have:
\[\Large 2y = 29\]
|dw:1433789390159:dw|

- NathaliaMA13

Okay. but you don't divide any thing at all?

- Michele_Laino

yes! I can divide by 2, so I get:
y=29/2
|dw:1433789590713:dw|

- NathaliaMA13

Okay, I'm starting to understand more simpler. Can you explain to me how to solve another question, please?

- Michele_Laino

ok!

- NathaliaMA13

In a different thread or on this one?

- Michele_Laino

in this one :)

- NathaliaMA13

Ok c:
so I'm really getting confused on this question; although it's 8th grade math. it's still very difficult for me :c I tried, I promise I have...

- NathaliaMA13

Betsey is 11 years older than Waldo. Betsey's age is 15 years less than three times Waldo's age. The system below models the relationship between Betsey's age (b) and Waldo's age (w):
b = w + 11
b = 3w − 15
Which of the following methods is correct to find Betsey's and Waldo's age?
Solve w + 11 = 3w − 15 to find the value of w.
Solve b + 11 = 3b − 15 to find the value of b.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.

- Michele_Laino

since those equations have the same left side, then we can write:
\[\Large w + 11 = b = 3w - 15\]
or:
\[\Large w + 11 = 3w - 15\]

- NathaliaMA13

OH. The substitution method..Yes.

- Michele_Laino

that's right!

- NathaliaMA13

But, hey..what value did It solve for? value w, or for value b?

- NathaliaMA13

There's no value b in any of the answer. So i'm going for value w. lol

- Michele_Laino

if we solve the last equation for w, we get:
\[\Large 2w = 26\]

- NathaliaMA13

Great. Thank you @Michele_Laino I want to give you a medal. But I gave a medal to @robtobey already ://

- Michele_Laino

no worries! :)

- NathaliaMA13

I undid it, because you gave better explanations. lol. Have a great day! :)

- Michele_Laino

thanks!! :)

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