Question

6x + y = −30,

36x + 6y = 24

Which statement is true about the system of equations?

After solving this system, you get a true statement.

This system has one solution.

If this system were graphed, the lines would be parallel.

The equations in this system have the same y-intercept.

Answer 1

36x + 6y = 24......reduce by dividing by 6
6x + y = 4...put in slope intercept form (y = mx + b)
y = -6x + 4

6x + y = -30...put in slope int form (y = mx + b)
y = -6x - 30

in y = mx + b form, the slope is in the m position and the y intercept is in the b position.

y = -6x + 4...slope = -6, y int = 4
y = -6x - 30 ...slope = -6, y int = -30

parallel lines will have the same slope but different y intercepts.......so this system of equations, if graphed, would be parallel