1-4. Quiz
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Use the Substitution Method to solve a system of equations.
7-point Touchdowns: 2
3-point Field Goals: 4
We are told that the home team scored 6 times. They have collected 26 points from 7-point touchdowns and 3-point field goals. If we let x represent the number of touchdowns and y represent the number of field goals, we can write the following system of equations.
7x+3y=26 & (I) x+y=6 & (II)
In order to solve it, we will use the Substitution Method.
(II):LHS-x=RHS-x
(I):y= 6-x
(I):Distribute 3
(I):Subtract term
(I):LHS-18=RHS-18
(I):.LHS /4.=.RHS /4.
(II):x= 2
(II):Subtract term
In the context of the word problem, this means that the home team scored two 7-point touchdowns and four 3-point field goals.