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
![2y-4x=12](https://tex.z-dn.net/?f=2y-4x%3D12)
, or
![y=2x+6](https://tex.z-dn.net/?f=y%3D2x%2B6)
in slope-intercept form, a parallel line will be of the form
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
.
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
![y=mx+b, \ x \neq 2](https://tex.z-dn.net/?f=y%3Dmx%2Bb%2C%20%5C%20x%20%5Cneq%202)
.
Answer:
$1120 and $280.
Step-by-step explanation:
$1400 = 125%
100% = $1120
The cost of the price was $1120.
$1400 - $1120 = $280.
The profit was $280.
Hope this helps!
A number what else.You know.People with no humor these days.
Answer:
12+x=12+4=16
3x+y=3*4+7=12+7=19
4y-10=4*7-10=28-10=18
1/2xy=1/2*4*7=28/2=14
Step-by-step explanation:
I believe that it is A. It is the only one that makes sense. If you look at numbers 0.47 and 0.00047, the decimal point in 0.00047 is three more spaces to the left than 0.47. Hope this helps!