The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation

, or

in slope-intercept form, a parallel line will be of the form

.
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form

.
The greatest common factor of 24 and 30 is 6.
Answer:
Vertical intercepts: (-2,pi/2) and (-10,pi/2)
Horizontal intercepts: (4,0) and (-4,0)
Step-by-step explanation:
I took the test and got it right.
Answer:
a, c, d
Step-by-step explanation:
1. a: 3/5=0.6=60%
2. c: 0.60=60%
3. d: 6/10=0.6=60%
Answer:
4 yards long
Step-by-step explanation:
John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4