Chapter 9.7, Problem 30STP

To determine

To represent : the given situation by a system of equations.

Answer to Problem 30STP

The system of equations that can be used to find each player’s points is given as:

  $\begin{array}{l}x=4y\\ x-y=15\end{array}$

Explanation of Solution

Given information :

Jileen has four times as many points as Kevin. Kevin has $15$ fewer points than Jileen.

Calculation :

As per problem,

Let the number of points Jileen has be $x$ and that of Kevin be $y$ .

Jileen has four times as many points as Kevin.

that is, $x=4y$ .

Kevin has $15$ fewer points than Jileen,

that is, $x-y=15$

Thus, the system of equations is:

  $\begin{array}{l}x=4y\\ x-y=15\end{array}$