Question

compare the slopes and y-intercepts for the equations in this system of equations. How many solutions does this system of equations have?

y=1/3x-1
y=1/3x

A. one solution
B. No solution
C. infinite solutions​

Answer 1

Answer:

• B. No solution

Step-by-step explanation:

Given lines:

• y = 1/3x - 1
• y = 1/3x

They have equal slopes (1/3) but different y-intercepts (- 1 and 0).

It means the lines are parallel, so there is no intersection and hence no solution.

Answer 2

Answer:

• Option B. No Solution

Explanation:

Since both the equations have the same slope, but different y-intercepts, the 2 equations have no solution. Remember, if an equation has no solutions, the line will always be parallel. Please check out my uploaded graph. It can help you understand the problem better.