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Vladimir79 [104]
3 years ago
14

During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdow

n and ͵ points for each field goal. Write and solve the systems of equations to find the total touchdowns and field goals scored.
Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

x+y=6

x=6-y....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

7x+3y=30 ...(2)

Put the value of x from equation (1) into equation (2).

7( 6-y)+3y=30

42-7y+3y=30

-4y=30-42

-4y=-12

y=3

Put y = 3 in equation 1.

x=6-3

x=3

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

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