Question

Consider the system of linear equations.

2y =x+ 10
3y = 3x + 15
Which statements about the system are true? Check all
that apply.
-The system has one solution.
-The system graphs parallel lines.
-Both lines have the same slope.
-Both lines have the same y-intercept.
-The equations graph the same line.
-The solution is the intersection of the 2 lines.

Answer 1

-The system has one solution

-Both lines have the same y-intercept

-The solution is the intersection of the 2 lines

Explanation:

When you graph the two lines, you get the intersection at (0,5)

The slope of one line is 0.5 and the other is 1.

The lines are not parallel because they intersect, parallel lines would never intersect.

The equations do not graph the same line, they would be one on top of the other and have infinite solutions.