The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;brainly.com/question/17671517
Answer:
3
Step-by-step explanation:
If you notice the y is the change in distance, so #3 has the best explanation.
Slope intercept form y=mx+b is where m is the slope and b is the y intercept, y-2=3(1–5), so for this y=-10 and that is your answer because the slope is zero.