Question

Descide which story can be represented by the system of equations y=x+6 and x+y=100.Explain your Reasoning

Answer 1

The answer in the explanation

Explanation:

Story

Peter and Sara have both saved the amount of $100. If Sara has 6 dollars more than Peter, how much money has each of them saved?

Let

x-----> amount of money saved by Peter

y-----> amount of money saved by Sara

we know that

`x+y=100` -----> equation A

`y=x+6` -----> equation B

Solving by graphing Method

The solution is the point
`(47.53)`

see the attached figure

therefore

The amount of money saved by Peter is
`\$47`

The amount of money saved by Sara is
`\$53`