Solving Systems of Linear Equations: Graphing

Question 1

Which statements about the system are true? Check all that apply.

Revolt · Accepted Answer

The system has one solution.; Both lines have the same y-intercept.; The solution is the intersection of the 2 lines.

Question 2

Graph the system of linear equations.

Revolt · Accepted Answer

The solution to the system is (, ).: –4; The solution to the system is (, ).: –6

Question 3

✔ –6–446

Revolt · Accepted Answer

–6

Question 4

What is the solution of this system of linear equations?3y = x + 6y – x = 3

Revolt · Accepted Answer

no solution

Question 5

⇒ 2.3

Revolt · Accepted Answer

(2.3, 4.1); 4.1; 2.3

Question 6

Students graphed the growth rate over several weeks of two plants in their classroom. The equations of both plants are given where x represents the time in weeks and y represents the heights of the plants in inches.Plant A: y = 1.8x + 3.1Plant B: y = 2.3x + 1.9Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth.

Revolt · Accepted Answer

2.4 weeks

Question 7

Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed.y + 2.3 = 0.45x–2y = 4.2x – 7.8

Revolt · Accepted Answer

(2.4, –1.2)

Question 8

A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a system of linear equations with infinitely many solutions?

Revolt · Accepted Answer

b = –8

Question 9

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Revolt · Accepted Answer

A graphing calculator can graph lines more accurately and quickly than graphing by hand, especially when slopes or y-intercepts are decimals or fractions. It may accept equations in different forms, and its viewing window can be adjusted without having to redraw the graph.

Question 10

Graph the system of linear equations. y = x + 5 and y = 2x + 2. The solution to the system is (, ).

Revolt · Accepted Answer

–4; Selection 1: –4; Selection 2: 6

Solving Systems of Linear Equations: Graphing Answers

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