Question

HELP!!!

Answer 1

Interpreting the situation, we have that:

a) The system of equations is:

$y = 2x - 7$

$y = 6 + x$

b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.

Item a:

In our system, we have that:

• Jacob's score is of x.
• Paul's score is of y.

Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:

$y + 7 = 2x$

$y = 2x - 7$

Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:

$y = 6 + x$

Item b:

Equaling both equations:

$2x - 7 = 6 + x$

$x = 13$

$y = 6 + x = 6 + 13 = 19$

Jacob scored 13 and Paul scored 19.

A similar problem is given at brainly.com/question/24104709