This is a way to work it out
Y=-6x+10. Y=-6x+3 Solve the system of equations
1 answer:
Given:
The system of equations is
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
where, m is slope and b is y-intercept.
For , slope is -6 and y-intercept is 10.
For , slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.
You might be interested in
You have to consider the “ends” of the x-axis, the far right (for infinitely large values of x) and left (for infinitely small values of x) of the graph.
From the diagram above you can see that:
- When
then
(notice that as the values of x get smaller and smaller, the graph gets closer and closer to the line y=1);
- When
then
(notice that as the values of x get larger and larger, the graph gets closer and closer to the line y=1).
Answer: correct choice is D.