Question

A set of equations is given below:

Equation C: y = 3x + 7
Equation D: y = 3x + 2

How many solutions are there to the given set of equations?

One solution

Two solutions

Infinitely many solutions

No solution

Answer 1

y = 3x + 7....slope is 3, y int is 7
y = 3x + 2...slope is 3, y int is 2

when the slopes are the same, but the y intercepts different, then it is a parallel line with no solutions.

little tip :
slopes same, y int different, = no solution
slopes same, y int same = infinite solutions
slopes different, y int different = 1 solution