Chapter 5.1, Problem 22E

To determine

To describe and correct: the error in solving the system of linear equation.

Answer to Problem 22E

The answer provided is correct but incomplete.

The solution to a system of linear equations is always ordered pair. While $\text{x}=2$ is correct, $\text{y}=3$ must be included. The correct answer is $(2,3)$ it is known that y coordinate is 3 by looking at the graph.

Explanation of Solution

Given:

  $y=2x-1$

  $y=x+1$

Calculation:

The answer provided is correct but incomplete. The solution to a system of linear equations is always ordered pair. While $\text{x}=2$ is correct, $\text{y}=3$ must be included. The correct answer is $(2,3)$ it is known that y coordinate is 3 by looking at the graph.

To check if this solution is correct, input the coordinate into one of the equations. If the equation is correct, the coordinates are correct.

Conclusion:

The answer provided is correct but incomplete. The correct answer is $(2,3)$