Respuesta :
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
[tex]x+y=6[/tex]
[tex]x=6-y[/tex]....(1)
They scored 7 points for each touchdown and 3 points for each field goal.
The total score is 30 points:
[tex]7x+3y=30[/tex] ...(2)
Put the value of x from equation (1) into equation (2).
[tex]7( 6-y)+3y=30[/tex]
[tex]42-7y+3y=30[/tex]
[tex]-4y=30-42[/tex]
[tex]-4y=-12[/tex]
[tex]y=3[/tex]
Put y = 3 in equation 1.
[tex]x=6-3[/tex]
[tex]x=3[/tex]
Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.
