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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1-4. Quiz

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Exercise 15 Page 242

Use the Substitution Method to solve a system of equations.

7-point Touchdowns: 2
3-point Field Goals: 4

Practice makes perfect

We are told that the home team scored 6 times. They have collected 26 points from 7-point touchdowns and 3-point. If we let x represent the number of 7-pointers and y represent the number of 3-pointers, 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.

7x+3y=26 & (I) x+y=6 & (II)

(II):LHS-x=RHS-x

7x+3y=26 & (I) y=6-x & (II)

(I):y= 6-x

7x+3( 6-x)=26 & (I) y=6-x & (II)

(I):Distribute 3

7x+18-3x=26 & (I) y=6-x & (II)

(I):Subtract term

4x+18=26 & (I) y=6-x & (II)

(I):LHS-18=RHS-18

4x=8 & (I) y=6-x & (II)

(I):.LHS /4.=.RHS /4.

x=2 & (I) y=6-x & (II)

(II):x= 2

x=2 & (I) y=6- 2 & (II)

(II):Subtract term

x=2 & (I) y=4 & (II)

In the context of the word problem, this means that the home team scored two 7-point touchdowns and four 3-point field goals.

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Exercises p.242