WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.

"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."

Assume

Monthly payments for Anita = x

Monthly payments for Casey = y

We have

Anita pays 80 more than Casey does each month.

We can write the equation

x = y + 80

x - y = 80 ...........................(1)

Over the course of 4 months, their combined bill is 1,520.

We can write the equation

4x + 4y = 1520...................(2)

Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)

⇒4x + 4y = 1520

⇒4(y + 80) + 4y = 1520

⇒4y + 320 + 4y = 1520

⇒8y = 1520-320

⇒8y = 1200

⇒y = [tex]\frac{1200}{8}[/tex]

⇒y = 150

Substitute y = 150 in equation (1)

⇒x - y = 80

⇒x - 150 = 80

⇒x = 80+150

⇒x = 230

Hence, the monthly payments for Anita and Casey are 230 and 150.

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