I need help with number 22 please. Algebra 2 third edition ISBN: 978-1-64626-475-9

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.5: Applying Systems Of Linear Equations
Problem 33PFA
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I need help with number 22 please. Algebra 2 third edition ISBN: 978-1-64626-475-9

hase a ze
will cost $1.50
Owever, you are
fail due to the
usiness so that
esed on yo
s mowed.
points for
work
CHAPTER 3 REVIEW
1. (5,2)
For each system, determine whether the given ordered pair is a solution
3.(-6,4)
y=-3x + 17
x+y=7
Solve each system graphically.
5. 2x + y = 14
x = y = -5
13. y
2. (3.7)
2x + 5y = 28
y = -2x + 13
7x - 4y = -5
Solve each system by substitution.
3x + 9
3x + 5y = -7
6. x - y = -8
3x + y = 0
whether the graphs are intersecting, coinciding, or parallel.
Classify each system as independent consistent (IC), dependent consistent (DC), or inconsistent (I). Then state
9. x + y = 6
x−y=4
- 2x + 3y = 6
10. x + y = 6
x + y = 4
Solve each system by elimination.
-
15. 3x - 2y = 7
14. x + 3y = 12
2x - 4y = 9
16. x + 7y = 19
2x - 7y = -4
Solve each system algebraically.
-
17. 5x – 2y = 7
2x + 5y = -
18. 2x - y = 3
y = 2x+8
7.3x-y=-4
2x+y> -1
11. 2x + 2y = 8
x+y = 4
19. 4x - y = -13
x + 3y = -13
**Sy = 4)
4x - 7y = 6
Write and solve a system of equations for each problem.
21. Find two numbers whose sum is 3147 and whose difference is 135.
8. ys +1
>>-4x-2
12. 2x+y=4
x + 2y = 2
20. - 4x + 9y = 41
5x - 4y = -44
22. Jay took 10 hr to travel a total of 1100 mi. He averaged 50 mi/hr in his car and 200 mi/hr in his small
plane. How much time did he spend in each?
23. It takes Bryce and Caleb the same amount of time to row 6 mi upstream as it takes them to row 18 mi
downstream. If their rowing rate in still water is 4 mi/hr, what is the rate of the current?
24. If it takes 5 hr for a plane to travel 1400 mi with the wind and 7 hr to make the return trip against the
wind, find the wind speed and the plane's air speed.
25. The difference between a two-digit number and five times the sum of its digits is 18. If the tens digit is
twice the units digit, what is the number?
26. The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the numbe
with its digits reversed. What is the original number?
27. Evelyn invested $8400 in a CD and $9600 in a money market account whose APY is 1% less than th
the CD. If she made $804 in interest last year, what is the rate of interest on each account?
st year,
28. Danielle has 87 nickels, dimes, and quarters whose total value is $10. If the number of nickels is s
fewer than the total number of dimes and quarters, how many of each type of coin does she have?
org
Transcribed Image Text:hase a ze will cost $1.50 Owever, you are fail due to the usiness so that esed on yo s mowed. points for work CHAPTER 3 REVIEW 1. (5,2) For each system, determine whether the given ordered pair is a solution 3.(-6,4) y=-3x + 17 x+y=7 Solve each system graphically. 5. 2x + y = 14 x = y = -5 13. y 2. (3.7) 2x + 5y = 28 y = -2x + 13 7x - 4y = -5 Solve each system by substitution. 3x + 9 3x + 5y = -7 6. x - y = -8 3x + y = 0 whether the graphs are intersecting, coinciding, or parallel. Classify each system as independent consistent (IC), dependent consistent (DC), or inconsistent (I). Then state 9. x + y = 6 x−y=4 - 2x + 3y = 6 10. x + y = 6 x + y = 4 Solve each system by elimination. - 15. 3x - 2y = 7 14. x + 3y = 12 2x - 4y = 9 16. x + 7y = 19 2x - 7y = -4 Solve each system algebraically. - 17. 5x – 2y = 7 2x + 5y = - 18. 2x - y = 3 y = 2x+8 7.3x-y=-4 2x+y> -1 11. 2x + 2y = 8 x+y = 4 19. 4x - y = -13 x + 3y = -13 **Sy = 4) 4x - 7y = 6 Write and solve a system of equations for each problem. 21. Find two numbers whose sum is 3147 and whose difference is 135. 8. ys +1 >>-4x-2 12. 2x+y=4 x + 2y = 2 20. - 4x + 9y = 41 5x - 4y = -44 22. Jay took 10 hr to travel a total of 1100 mi. He averaged 50 mi/hr in his car and 200 mi/hr in his small plane. How much time did he spend in each? 23. It takes Bryce and Caleb the same amount of time to row 6 mi upstream as it takes them to row 18 mi downstream. If their rowing rate in still water is 4 mi/hr, what is the rate of the current? 24. If it takes 5 hr for a plane to travel 1400 mi with the wind and 7 hr to make the return trip against the wind, find the wind speed and the plane's air speed. 25. The difference between a two-digit number and five times the sum of its digits is 18. If the tens digit is twice the units digit, what is the number? 26. The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the numbe with its digits reversed. What is the original number? 27. Evelyn invested $8400 in a CD and $9600 in a money market account whose APY is 1% less than th the CD. If she made $804 in interest last year, what is the rate of interest on each account? st year, 28. Danielle has 87 nickels, dimes, and quarters whose total value is $10. If the number of nickels is s fewer than the total number of dimes and quarters, how many of each type of coin does she have? org
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