SOLUTION: a kicker on the football team scores 1 point for making and extra point and 3 points for making a field goal. The kicker makes a total of 53 kicks for the season (Including extra p

Question 1179282: a kicker on the football team scores 1 point for making and extra point and 3 points for making a field goal. The kicker makes a total of 53 kicks for the season (Including extra points and field goals) and scores a total of 89 points. Write and solve a system of equations to find the number of extra points (x) and the number of field goals (y).
Found 2 solutions by ewatrrr, greenestamps:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi Question States: 53 kicks and 89 points let x be the number of FG 1(53-x) + 3x = 89 2x = 36 x = 18 FG and 35 Kicks 35 + 3*18 = 89 checks. Wish You the Best in your Studies.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The other tutor solved the problem using a single equation -- not a system of equations, as requested.

To be sure, solving the problem using a single variable is less work... but it's not what the post asked for.
x+y=53 (1) The total number of kicks was 53 3x+1y=89 (2) The point total was 89

With both equations in the form Ax+By=C, I would always use elimination instead of substitution.
3x+y = 89 - x+y = 53 ------------ 2x = 36

I will assume you can finish from there.

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