Question

Use the drop-down menus to complete the statements below to answer this question: can you determine whether a system of linear equations has a solution just by looking at the graph of the equations?.

Answer 1

Answer:

The coordinates of a point satisfies the equation of a line if the point lies on the line

If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.

This means that each point where the two lines touch is a solution to the system of equations

This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true

Explanation: