Systems Of Linear Equations Worksheets With Answer Key Page 31
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
38
39
40Extension
Solving Linear Equations by Graphing
5.4
Lesson Tutorials
Solving Equations Using Graphs
C
OMMON
To solve the equation ax + b = cx + d, write two linear
C
Step 1:
ORE
equations.
Systems of Equations
In this extension, you will
ax + b
=
cx + d
solve linear equations by
●
graphing a system of linear
= cx + d
= ax + b
equations.
and
y
y
solve real-life problems.
●
Applying Standards
Graph the system of linear equations. The x-value of the
Step 2:
8.EE.7
8.EE.8
solution of the system of linear equations is the solution of
the equation ax + b = cx + d.
Solving an Equation Using a Graph
1 1
EXAMPLE
1
Solve x − 2 = −
x + 1 using a graph. Check your solution.
—
2
Step 1: Write a system of linear equations using each side of
the equation.
1
x − 2 = −
x + 1
—
2
1
= x − 2
= −
x + 1
—
y
y
2
Check
Step 2: Graph the system.
y
1
y
x
2
x − 2 = −
x + 1
3
—
y = x − 2
2
2
1
(2, 0)
y = −
x + 1
—
?
1
− 2 =
−
(2) + 1
—
2
2
2
2
1
1
2
4
5 x
✓
The graphs intersect at (2, 0).
0 = 0
1
So, the solution of the equation
y
x
1
2
4
is x = 2.
Use a graph to solve the equation. Check your solution.
1. 2x + 3 = 4
2. 2x = x − 3
3. 3x + 1 = 3x + 2
1
x = x + 8
5. 1.5x + 2 = 11 − 3x
6. 3 − 2x = − 2x + 3
—
4.
3
7.
STRUCTURE
Write an equation with variables on both sides that has no solution.
How can you change the equation so that it has infi nitely many solutions?
230
Chapter 5
Systems of Linear Equations
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education