Chapter 6.4, Problem 1MCQ

To determine

To calculate: solve system of equations by graph. Tell whether the system has one solution, infinitely many solutions, or no solutions.

Answer to Problem 1MCQ

  $x=-1,y=-2$ , one solution

Explanation of Solution

Given information:

  $\begin{array}{l}y=x-1\\ y=-3x-5\end{array}$

Calculation:

Let’s plot the graph of both the lines, the intersecting points will be our final solution.

  

Here, lines have only one intersecting point, therefore, system will have only one solution.