Solving Systems of Linear Equations: Graphing

Question 1

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

Question 2

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 3

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

Revolt · Accepted Answer

no solution

Question 4

⇒ 2.3

Revolt · Accepted Answer

(2.3, 4.1); 4.1; 2.3

Question 5

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 6

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 7

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

Solving Systems of Linear Equations: Graphing Answers

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