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:
2:29:32
Step-by-step explanation:
time = distance/speed= 162mi/65
=162/65 =2.49231
=2 hours 29 minutes 32 seconds
=02:29:32 (hh:mm:ss)
Hope this helps!
Start off by combining like terms (your y's).
7y - 6y - 10 = 13
y - 10 = 13
Now you need to get y by itself so add 10 to both sides
y - 10 = 13
+10 +10
y = 23
30.6 because 10.2 times 30 is 30.6