If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 3 times Natalie's age, the result is 60. Write and solve a system of equations to find how old Fred and Natalie are.

Question

If you add​ Natalie's age and​ Fred's age, the result is 36. If you add​ Fred's age to 3 times​ Natalie's age, the result is 60. Write and solve a system of equations to find how old Fred and Natalie are.

Yahaira · Answer

@mxddi3 pls help

Yahaira · Answer

@XioGonz

XxAngelGirlxX · Answer

well do you know how to solve this problem?

Yahaira · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @XxAngelGirlxX
well do you know how to solve this problem?
$\color{#0cbb34}{\text{End of Quote}}$
no

mxddi3 · Answer

ok so first, this shouldn't be in writing. 
Anyways, this can be written as 2 equations: 
X=Natalie
y=Fred
Now, we write the equations. If their aged added is equal to 36, then `x+y=36`
ok then, adding Fred's age to 3 times Natalie's age we get `3x+y=60`
so we can use the substitution method for this. So I will start you off, but i need you to finish. 
So we are going to change `x+y=36` and subtract y from both sides and get `x=36-y`
Plug this into the second equation and we get: 3(36-y)+y=60. This simplifies to 108-3y+y=60
That then simplifies to 108-2y=60. Then you need to subtract 108 from both sides and we are left with: `-2y=-48`.

Now, you have -2y= -48 so please solve that. You will get your "y" value. Then, from there you take that answer and plug it into the first equation (x+y=36) and you will get your "x" value as well (: