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.

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:

[tex] \frac{x-t}{-z} = \frac{-yz}{-z}
\\
\\\frac{x-t}{-z}=y [/tex]

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

[tex] \frac{-x+t}{z}=y [/tex]

JeanaShupp JeanaShupp · Answer 2 · 2019-04-26T17:16:50+02:00

Answer: [tex]y=\frac{t-x}{z}[/tex]

Step-by-step explanation:

Given: A formula that describes this scenario:

[tex]x=t-yz[/tex]

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,

[tex]x-t=-yz\\\\\Rightarrow\ yz=t-x[/tex]

Now, divide z on both sides, we get

[tex]y=\frac{t-x}{z}[/tex]