What values of a and b would make the equation shown have infinitely many solutions? 3x=ax+b

1 answer:

7 0

Infinitely many solutions means that you have the same thing on both sides of the equation no matter what value of x you plug in, right?

We just need both sides to be 3x then, correct?

If a were equal to 3 and b were equal to 0, we'd have

3x = (3)x + 0

Which is essentially 3x = 3x

So that means a = 3 and b = 0 must work!
Let's say x = 5

3(5) = 3(5) + 0

15 = 15 + 0

15 = 15

That means that a = 3 and b = 0 is your final answer :)

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Answer:

5yrs or 1825 days

Step-by-step explanation:

Given the total amount of the investment after n-days at 9% is $2,320 and the principal amount invested is $1,600

-Let P be the principal amount, A be the total amount of the investment.

-We calculate the number of days using simple interest formula.

#Calculate the total interest earned on the investment:

$I=A-P, \\\\I=2320-1600\\\\=720$

Simple interest is calculated using the formula:

$I=PRT, T=time, R=interest \ rate , P= Prncipal, I=720\\\\720=1600\times \frac{9}{100}\times T\\\\\frac{720}{144}=T\\\\T=5\ years=5\times 365\ days= 1825\ days$