Question

A set of equations is given below: Equation C: y = 6x + 9 Equation D: y = 6x + 2 Which of the following options is true about the solution to the given set of equations? 1) One solution 2) No solution 3) Two solutions 4) Infinite solutions

Answer 1

The set of equations given have no solution.

Step-by-step explanation:

The set of equations given are as follows:

Equation C: y = 6x + 9

Equation D: y = 6x + 2

To determine the solution to this set of equations, we can compare the equations and observe that the slope of both equations is the same, which is 6. However, the y-intercepts are different, with equation C having a y-intercept of 9 and equation D having a y-intercept of 2.

Since the slope is the same but the y-intercepts are different, the lines represented by these equations are parallel. As a result, there is no solution to this set of equations.