Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
Answer:
D
Step-by-step explanation:
The dot is two blocks up on the x-axis, and 1 block to the right on the y-axis
Answer:
Step-by-step explanation:
That weird symbol means "element". In our case, the elements of the domain (the x-values) are -15, -6, -1. Which tells us that we are going to sub each one of the numbers into the equation and solve it for the corresponding y value. That in turn gives us the coordinate point. The equation is
x + y = 6
Subbing in first -15 for x:
-15 + y = 6 and
y = 6 + 15 so
y = 21 and the coordinate point is (-15, 21).
Subbing in -6 for x:
-6 + y = 6 and
y = 6 + 6 so
y = 12 and the coordinate point is (-6, 12).
Subbing in -1 for x:
-1 + y = 6 and
y = 6 + 1 so
y = 7 and the coordinate point is (-1, 7)
The second choice is the one you want.
Just remember that x is the domain and any elements in the domain go in for x.
Also remember that y is the range and any elements in the range go in for y
Hi! Can you try sending a picture of the figure that this is referring to, so I can try answering the question?
