Question

Viera High Football team played a practice game and scored a total of 55 points. Interesting, the number of field goals was 1 more than twice the number of touchdowns. The football team earned 7 points for each touchdown and three points for each field goal. Write a systems of equations (two equations) from the information given.

Answer 1

Answer:

The system of equations from the given information is;

$\begin{gathered} x=2y+1\text{ -----1} \\ 3x+7y=55\text{ -------2} \end{gathered}$

Explanation:

Given that Viera High Football team played a practice game and scored a total of 55 points.

And the number of field goals was 1 more than twice the number of touchdowns.

Let x represent the number of field goals and y represent the number of touchdowns.

If the number of field goals was 1 more than twice the number of touchdowns.

We have;

$x=2y+1\text{ -----1}$

Also, the football team earned 7 points for each touchdown and three points for each field goal;

$3x+7y=55\text{ -------2}$

Therefore, the system of equations from the given information is;

$\begin{gathered} x=2y+1\text{ -----1} \\ 3x+7y=55\text{ -------2} \end{gathered}$