Chapter 5 Solving Systems Of Linear Equations - 5.5 Solving Equations By Graphing Worksheet Page 5
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1
2
3
4
5
6Exercises
5.5
Dynamic Solutions available at
Vocabulary and Core Concept Check
Vocabulary and Core Concept Check
The graphs of the equations y = 3x − 20 and y = −2x + 10 intersect at the
REASONING
1.
point (6, −2). Without solving, fi nd the solution of the equation 3x − 20 = −2x + 10.
∣
∣
∣
∣
2x − 4
=
−5x + 1
WRITING
2.
Explain how to rewrite the absolute value equation
as two systems
of linear equations.
Monitoring Progress and Modeling with Mathematics
Monitoring Progress and Modeling with Mathematics
In Exercises 3–6, use the graph to solve the equation.
1
−x − 5 = −
(3x + 5)
—
19.
3
Check your solution.
1
3
(8x + 3) = 4x +
20.
—
—
−2x + 3 = x
−3 = 4x + 1
3.
4.
2
2
y
y
In Exercises 21 and 22, use the graphs to solve the
equation. Check your solutions.
1
3
∣
∣
∣
∣
x − 4
=
−2
21.
2
x
3x
1
y
y
x
x
−3
−2
1
3
x
2
−2
2
−2
3
1
−x − 1 =
x + 3
−
x − 2 = −4x + 3
—
5.
—
6.
2
3
−4
y
y
−6
2
4
x
4
−2
∣
∣
∣
∣
2x + 4
=
x − 1
22.
2
−4
y
y
x
−6
−4
−4
−2
1
x
4
−6
−4
In Exercises 7−14, solve the equation by graphing.
−3
−1
(See Example 1.)
3
x
Check your solution.
−6
x + 4 = −x
4x = x + 3
7.
8.
x + 5 = −2x − 4
−2x + 6 = 5x − 1
9.
10.
In Exercises 23−30, solve the equation by graphing.
(See Example 2.)
Check your solutions.
1
1
x − 2 = 9 − 5x
−5 +
x = 3x + 6
11.
—
12.
—
∣
∣
∣
∣
∣
∣
∣
∣
2
4
=
x + 3
2x − 6
=
23.
24.
2x
x
5x − 7 = 2(x + 1)
−6(x + 4) = −3x − 6
13.
14.
∣
∣
∣
∣
−x + 4
=
2x − 2
25.
In Exercises 15−20, solve the equation by graphing.
∣
∣
∣
∣
x + 2
=
−3x + 6
26.
Determine whether the equation has one solution,
no solution, or infi nitely many solutions.
∣
∣
∣
∣
x + 1
=
x − 5
27.
3x − 1 = −x + 7
5x − 4 = 5x + 1
15.
16.
∣
∣
∣
∣
2x + 5
=
−2x + 1
28.
−4(2 − x) = 4x − 8
17.
∣
∣
∣
∣
∣
∣
∣
∣
x − 3
= 2
x + 2
=
2x + 7
29.
30.
x
4
−2x − 3 = 2(x − 2)
18.
265
Section 5.5
Solving Equations by Graphing
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