Answer:
1) D: All of the above.
2) A: No solution
3) B: One solution
Step-by-step explanation:
1. The systems of linear equations can be solved through the following methods:
Graphing method: Using the slope and y-intercepts of each equation to plot points and graph the lines to see whether the given system has a point of intersection as a solution.
Elimination method: this involves either adding (when the coefficients have opposite signs) or subtracting (when the coefficients have the same sign).
Substitution method: involves solving for one of the variables of either equations, and substituting the values of that expression into the other linear equation in the system.
Therefore, the correct answer is Option D: All of the above.
2. Graph of Parallel Lines:
Given the graph of parallel lines, which means that they will never have a point of intersection. Therefore, the given systems of linear equations have no solution. Therefore, the correct answer is Option A: No solution.
3. Graph of Two Intersecting lines
Given the graph of two non-perpendicular intersecting lines, it means that they have one point of intersection that represents the solution to the given system.
Therefore, the correct answer is Option B: One solution.
