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
Yes. 31 is a prime number.
It has no factors except ' 1 ' and itself.
Answer: 6.5 or 2/13
Step-by-step explanation: add all the numbers together first
2+8+5= 15
then add 1 purple and 1 blue together over 13 (because it says without replacement) so 2/13 then divide = 6.5
I'm pretty sure let me know if i got it wrong
The new length side of the perimeter, we'll call p. The original length, we'll call o. P's equation looks like this:
Since 5 is the length of one side, subtract 2 from 5 to get 3. The equation looks like this:
or simply
Answer:
1/3
Step-by-step explanation:
as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3