Solving Systems of Linear Equations: Graphing: Assignment

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

A. (2.4, -1.2)

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

Sample Answer: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator's window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

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 + 3.1 Plant B: y = 2.3x + 1.9 Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth.

B. 2.4 weeks

Graph the system of linear equations. -1/2y=1/2x+5 and y=2x+2 The solution to the system is

(-4, -6)

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?

A. b=-8

What is the solution of this system of linear equations? 3y = 3/2x + 6 1/2y - 1/4x = 3

C. No solution

Solve the system of linear equations by graphing. 2x + 3y = 16.9 5x = y + 7.4 What is the solution to the system of linear equations? Round to the nearest tenth as needed.

(2.3, 4.1)

Consider the system of linear equations. 2y = x + 10 3y = 3x + 15

1. The system has one solution. 4. Both lines have the same y-intercept. 6. The solution is the intersection of the 2 lines.