Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 26
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
386-2 Substitution
So, there were 25 girl volunteers and 35 boy volunteers.
Compare and contrast the solution of a system found by graphing and the solution of the same
system found by substitution.
Solve the following system of equations by graphing.
y = 2x + 1 and y =
.
From the graph, it appears the solution is close to
.
Next, solve the same system by substitution.
Substitute
for x in either equation to find the value of y .
The exact solution is
which is close, but not equal to,
.
The solutions to a system will be the same, no matter the method used to solve. However, estimation may need to be
used when graphing the system. To find a precise solution, the preferred method is substitution.
Create a system of equations that has one solution. Illustrate how the system could represent a
real-world situation and describe the significance of the solution in the context of the situation.
Sample answer: Let a = the number of tops Allison bought, and let b = the number of tops Beth bought. Together,
Allison and Beth bought 25 tops. Allison spent $24 per top, and Beth spent $16 per top. Together they spent $464.
Page 26
eSolutions Manual - Powered by Cognero
How many tops did each girl buy?
a + b = 25
24a + 16b = 464
ADVERTISEMENT
0 votes
Related Articles
Related forms
Point Slope Form And Linear Equations Worksheet With Answers - Algebra 1, Somerset Area School District
Education
Slope-intercept And Point-slope Forms Worksheet With Answer Key - Potomac Falls High School
Education
Scientific Notation Worksheet With Answer Key - North St. Paul-maplewood-oakdale School District
Education
Related Categories
Parent category: Education