Question

Write a system of equations for the following scenario and then solve for the number of points each person scored.

Jen won a computer game that she played with Matt. The sum of their scores was 754, and the difference of their scores was 176. How many points did each person score?

Answer 1

To solve the system of equations, we can use the method of substitution or elimination to find the values of 'x' and 'y', representing the number of points Jen and Matt scored, respectively.

Step-by-step explanation:

To write a system of equations, let's assume Jen's score is represented by 'x' and Matt's score is represented by 'y'.

We are given two pieces of information: the sum of their scores is 754, which can be written as:

x + y = 754

And the difference of their scores is 176, which can be written as:

x - y = 176

To solve for the number of points each person scored, we can solve this system of equations using the method of substitution or elimination.

Solving these equations will give us the values of 'x' and 'y', which represent the number of points Jen and Matt scored, respectively.