Question

translate to a system of equations and solve
Molly is 4 years is younger than heidi in 3 years Heidi will be ticw as old as Molly. how old are they now?

Answer 1

\[Molly + 4 = Heidi\]
\[2*(Molly + 3) = Heidi + 3\]

Can you solve it on your own?

Answer 2

no

Answer 3

you know from the first statement/equation, that Heidi = Molly + 4 . I you substitute this into the second Equation it looks like this:

\[2 * (Molly + 3) = (Molly + 4) + 3\]

So now you can solve for Molly and plug it back into either the first or the second equation...

Answer 4

so it is 6 and 11

Answer 5

I don't think so, because it was said that Molly is 4 years younger than Heidi,
and 11-6=5 should be 4!!

Answer 6

then how old are they now??

Answer 7

You got Heidi's age correct. Review your work and see if you made an arithmetical error.

Answer 8

Actually you did not get heidi's age right. They are both wrong.

Answer 9

Do this one over and see what you get.
2 * (Molly + 3)= (Molly +4)+3

What did you get for Molly?

Answer 10

Let M= Mollly, so that it will look like this:
2(M+3)=(M+4)+3

Answer 11

Solve for M

Answer 12

The solution is for their age now.

Answer 13

2 and 6???

Answer 14

Lets see where you are going with this.
starting with the eequation 2(M+3)=(M+4)+3 Remove paren'
2M+6=M+4+3 consolidating like terms
2M+6=M+7 do we agree thus far?

Answer 15

Next step is to subtract 1M and 6 from both sides of the equal sign.

2M-M+6-6=M-M+7-6 Consolidating similar terms

Now you have Molly's age!

Answer 16

What did you get when you combined the terms of the equation?

Answer 17

Have you reached the point where you discovered your previous error?

Answer 18

so it is one and five?????

Answer 19

Absolutely it checks out.

Answer 20

Anything about the solution method that you haves questions or comments ??

Answer 21

it is 1 and 5??? did i get it right???

Answer 22

yes, it it - you got the right answer.