tinsonhwstayla
Answered

Jeremy wants to buy a new computer. The saleswoman says that he can make a down payment and then pay for the computer in installments.


Here's a formula that describes this scenario:


x=t-yz


x = Amount down

y = Money each month

z = Number of months

t = Total price


Rewrite the formula to solve for the amount of money Jeremy must pay each month.

Verified Answer :

The correct answer is:


\(y=\frac{-x+t}{z}\)


Explanation:


We want to solve for the amount of money he pays each month. This is represented by y in the equation. This means we want to isolate y in the equation:


x = t - yz


We first want to subtract t from each side:


x - t = t - yz - t

x - t = -yz


Now we want to cancel the negative sign and z. We can isolate both of these at the same time; divide both sides by -z:


\(\frac{x-t}{-z} = \frac{-yz}{-z}
\\
\\\frac{x-t}{-z}=y\)


We can divide the numerator by the negative sign; this gives us

\(\frac{-x+t}{z}=y\)

JeanaShupp

Answer: \(y=\frac{t-x}{z}\)

Step-by-step explanation:

Given: A formula that describes this scenario:

\(x=t-yz\)


where, x = Amount down

y = Money each month

z = Number of months

t = Total price

To solve the formula for the amount of money Jeremy must pay each month i.e. y, first subtract t on both sides of the equation, we get,

\(x-t=-yz\\\\\Rightarrow\ yz=t-x\)

Now, divide z on both sides, we get

\(y=\frac{t-x}{z}\)

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