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

Miami dolphins scored 3 touchdowns and 3 field goals.

Step-by-step explanation:

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

It is given that during their last game, the miami dolphins scored 6 times for a total score of 30 points.

                   .... (1)

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

                   .... (2)

Use substitution method to solve the system of equations.

Substitute value of y( in terms of x) in equation (2) from equation (1).

Combine like terms.

Subtract 18 from both sides.

Divide both sides by 4.

The value of x is 3.

Substitute x=3 in equation (1), to find the value of y.

Subtract 3 from both sides.

The value of y is 3.

Therefore Miami dolphins scored 3 touchdowns and 3 field goals.

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