Beginning Algebra, 11th Edition
Over the years, Americans have continued their fascination with Hollywood and the movies. In 2009, the number of tickets sold at ...
248 CHAPTER 4 Systems of Linear Equations and Inequalities OBJECTIVES A system of linear equations,often called a linear system, ...
Any intersection point would be on both lines and would therefore be a solution of bothequations. Thus, the coordinates of any p ...
250 CHAPTER 4 Systems of Linear Equations and Inequalities OBJECTIVE 3 Solve special systems by graphing. Sometimes the graphs o ...
NOTE When a system has an infinite number of solutions, as in Example 3(b), either equation of the system could be used to write ...
Identifying the Three Cases by Using Slopes Describe each system without graphing. State the number of solutions. (a) Write each ...
SECTION 4.1 Solving Systems of Linear Equations by Graphing^253 We can solve the system from Example 1(a)by graphing with a calc ...
9. 10. 11. x+ y= 0 4 x+ 2 y= 0 1 0, 0 2 3 y=- 2 x- 4 5 y= 3 x+ 20 1 - 5, 2 2 3 y= 2 x+ 30 2 y= x+ 10 1 6, - 82 254 CHAPTER 4 S ...
33.Solve the system by graphing. Can you check your solution? Why or why not? 34.Explain one of the drawbacks of solving a syste ...
45.The graph shows how college stu- dents managed their money during the years 1997 through 2004. (a)During what period did ATM ...
Solve each equation for y. See Sections 2.5 and 3.3. Solve each equation. Check the solution. See Section 2.3. ...
We check the solution by substituting 2 for xand 4 for yin bothequations. CHECK (1) (2) Substitute. Substitute. Multiply. ✓ True ...
Using the Substitution Method Use substitution to solve the system. (1) (2) Step 1 We must solve one of the equations for either ...
The false result means that the equations in the system have graphs that are parallel lines. The system is inconsistent and has ...
OBJECTIVE 3 Solve linear systems with fractions and decimals by substitution. SECTION 4.2 Solving Systems of Linear Equations by ...
Using the Substitution Method with Decimals as Coefficients Solve the system by the substitution method. (1) (2) Clear each equa ...
Solve each system by the substitution method. Check each solution. See Examples 1–5. SECTION 4.2 Solving Systems of Linear Equat ...
Solve each system by substitution. Then graph both lines in the standard viewing window of a graphing calculator, and use the in ...
SECTION 4.3 Solving Systems of Linear Equations by Elimination^265 Notice that yhas been eliminated. The result, gives the x-val ...
Step 3 Add the two equations. Add in columns. Step 4 Solve. Divide by 3. Step 5 Find the value of yby substituting 5 for xin eit ...
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