y = |x - 3|
3x + 3y = 27
3x + 3|x - 3| = 27
3x + 3|x - 3| = ±27
3x + 3|x - 3| = 27 or 3x + 3|x - 3| = -27
3x + 3(x - 3) = 27 or 3x + 3(x - 3) = -27
3x + 3(x) - 3(3) = 27 or 3x + 3(x) - 3(3) = -27
3x + 3x - 9 = 27 or 3x + 3x - 9 = -27
6x - 9 = 27 or 6x - 9 = -27
+ 9 + 9 + 9 + 9
6x = 36 or 6x = -18
6 6 6 6
x = 6 or x = -3
y = |x - 3| or y = |x - 3|
y = |6 - 3| or y = |-3 - 3|
y = |3| or y = |-6|
y = 3 or y = 6
(x, y) = (6, 3) or (x, y) = (-3, 6)
The two systems of equations of the graph is only equal to (6, 3). It is not equal to (-3, 6) because one of the systems of equations - y = |x - 3| - only has one solution to the function. So the answer to the problem is 3 - (6, 3) is the solution to the system because it satisfies both equations.
For any equation,
assume solution of a form,
Which leads to,
Simplify to,
Then find solutions,
For non repeated real root y, we have a form of,
Following up,
For two non repeated complex roots where,
and,
the general solution has a form of,
Or in this case,
Now we just refine and get,
Hope this helps.
r3t40
Answer:
<em>The lines have the same slope, but different intercepts. This means that they go in the same direction, but are in different parts of the grid, namely, every time that the x-coordinates are the same for two points with one on each of the lines, their y-coordinates will have a difference of 5 units.</em>
Step-by-step explanation:
y=1/4x would be a line going through the origin (0,0) and it would travel 4 units to the right and one unit up at a time. Thus, some points that would be intersected by this line would be (-8, -2), (-4, -1), (0, 0), (4, 1) and (8, 2).
y=1/4x - 5 would be a line that is parallel to the other line, meaning that they go in the same direction, and thus NEVER cross. <em>This</em> line, however, intersects the y-axis at 5 units lower than the other line. This means that the lines have the same slope, but different intercepts.
Answer:
Step-by-step explanation:
first find the slope using the slope formula
plug in
m = -7/3
and using point slope form