Chapter 5 Solving Systems Of Linear Equations - 5.5 Solving Equations By Graphing Worksheet
ADVERTISEMENT
1
2
3
4
5
65.5
Solving Equations by Graphing
Essential Question
Essential Question
How can you use a system of linear
equations to solve an equation with variables on both sides?
Previously, you learned how to use algebra to solve equations with variables
on both sides. Another way is to use a system of linear equations.
Solving an Equation by Graphing
1
Work with a partner. Solve 2x − 1 = −
x + 4 by graphing.
—
2
a. Use the left side to write a linear equation. Then use the right side to write
another linear equation.
y
b. Graph the two linear equations from
6
part (a). Find the x-value of the point of
USING TOOLS
intersection. Check that the x-value is the
STRATEGICALLY
4
solution of
To be profi cient in math,
1
2x − 1 = −
x + 4.
2
—
you need to consider the
2
available tools, which
c. Explain why this “graphical method” works.
−2
may include pencil and
2
4
6
x
paper or a graphing
−2
calculator, when solving
a mathematical problem.
Solving Equations Algebraically
and Graphically
Work with a partner. Solve each equation using two methods.
Method 1 Use an algebraic method.
Method 2 Use a graphical method.
Is the solution the same using both methods?
1
1
2
1
x + 4 = −
x + 1
x + 4 =
x + 3
—
—
—
—
a.
b.
4
2
3
3
2
1
4
7
c. −
x − 1 =
x − 4
x +
= 3x − 3
—
—
—
—
d.
3
3
5
5
e. −x + 2.5 = 2x − 0.5
f. − 3x + 1.5 = x + 1.5
Communicate Your Answer
Communicate Your Answer
3.
How can you use a system of linear equations to solve an equation with
variables on both sides?
4.
Compare the algebraic method and the graphical method for solving a
linear equation with variables on both sides. Describe the advantages and
disadvantages of each method.
261
Section 5.5
Solving Equations by Graphing
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education