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Can someone please help me with this problem, I do not understand how to solve

Linear Algebra
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How do i solve this?
Let the part of it that's being invested at a rate of 5% per annum be x. Let he other part that's being invested at 7.2% "5000-x".

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Other answers:

can it not also be y ?
Why would you want two variables when you can solve it using one? Do you want to make your life harder?
Its because i am learning graphing at the moment so i thought there would be y in there
Does the question have the word sketch/draw or graphically in it?
no
Then what kind of reason was that?... Now let's continue on with the question rather than giving random excuses as to what you're learning.
sorry
Write 5% as a decimal.
Also write 7.2% as a decimal.
0.05
0.072
Sorry I meant fraction. My apologies.
50/1000 75/1000
Make it into the simplest form please. If you don't know how to simplify fractions into its simplest form, then I suggest you use your calculator.
1/20 and 3/40
75?
The question says 7.2%....not 7.5%....
9/125
You only got one correct. Please rewrite 7.2% as a fraction again please.
Yep you're correct.
Sorry about that, my comp lagged out.
Okay now. Do you agree that (x times 5%)+[(5000-x) times 7.2%)]=349?
yes
Okay, now change the 5% and 7.2% into the fractions you wrote previously and show me your equation.
1/20 x + 9/25 (5000-x) = 349
Yep great! Excellent.
Now. You just figured the equation that would lead you to finding x. \[\frac{ x }{ 20 }+\frac{ 9(5000-x) }{ 125 }=349\]
oh... yea
It's 125.
I'm just letting you go for just writing 25 but I will let you go this time due to the probability of that being a typo.
yea
Okay, so when you get rid of the fractions by multiplying both sides with the Lowest common multiple, tell me what you get.
500 LCD
yep.
Multiply by 500 to both sides.
Tell me what you get. Afterwards, you would have to expand/distribute the brackets/paranthesis.
Ill do that, but just for knowledge this can also be answered by using the decimals (0.05 and 0.075) right
i ment 0.072
Yea of course.
I just reckon fractions are clearer and you would understand a bit better.
So what did you get?
I find fractions a bit difficult so i did decimals, 0.05x + 0.072(5000-x) = 349
0.05x + 360-0.072x = 349
Okay...Well then expand/distribute the brackets/paranthesis...
and 0.05x - 0.072 = -11
Where's the x gone mate?
sry (you are am amazing teacher you can catch the slighest mistakes =) 0.05x - 0.072x = -11
Okay collect likes terms. That means group the x's together.
like terms*
-0.022x = -11
x= -11/-0.022
x = 500
wow
Yep and then what do you get for the other one.
?*
There's two parts.
That's the first part where it was invested at a rate of 5% p.a
So what about the part where it was invested at a rate of 7.2%?
4500 the rest of the money
Correct. Awesome.
wow, you are just an amazing teacher. thank you soo much
I will show what I did using fractions. This just give you a look at a different perspective in solving these. \[25x+36(5000-x)=174500\] \[25x+180000-36x=174500\] \[11x=180000-174500\] \[11x=5500\] \[x=500\]
And no worries. Good work.
Mr, Aztech are you usually available at this time so I can ask you for help
Not all the time. I'm also busy with my own work. So some days I will be off doing my work and other days I will be resting and so on. This is only just a bit of fun to help others with their homework.
Thankyou sir

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