Question

In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation

Answer 1

Please see explanation

Explanation:

A system of linear equations in two variables represents two lines on graph.

When both the lines have same slope, there can be two cases

• Same slope with different y-intercepts

When two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.

• Same slope with same y-intercepts

When the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.