1. 8.4 Using Systems Objective:
To solve word problems by using systems of equations

2. How? Translate the word problem into 2 equations
Use key words (sum +, difference -, is =)
Either use substitution or addition to solve

3. The sum of 2 numbers is 115.
The difference is 21. Find the numbers.
Y= 47
#31

4. One is 5 times the other. Find the numbers.
The sum of 2 numbers is 26.4.
One is 5 times the other. Find the numbers.
#32

5. The sum of the length and width of a rectangle is 19 inches
The sum of the length and width of a rectangle is 19 inches. The length is one less than twice the width.
#33

6. The perimeter of a rectangle is 48m
The perimeter of a rectangle is 48m. The width is 2 more than half the length.
#34

7. Taylor is five years older than his sister.= 5 + s
Taylor is five years older than his sister.
In four years he will be twice as old as her.
How old are they now? = t
2(s ) +4
Let t = Taylor’s age today
Let s = sister’s age today

8. Let m = mother’s age now
d = daughter’s age now -1

9. The perimeter of a rectangle is 130m
The perimeter of a rectangle is 130m. One fourth the length is the same as two-fifths the width. Find the dimensions of the rectangle.
4( )
2w + 2 (8/5w) =130
10/5 w + 16/5w =130
26/5 w =130
(5/26) (26/5) w = 130 (5/26)

10. The perimeter of a rectangle is 56m
The perimeter of a rectangle is 56m. One half the length is the same as three times the width. Find the dimensions of the rectangle.
2( )

11. Assignment Page 377 #4-18 even