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:
7
Step-by-step explanation:
if he has to be 3 in each baseball card and has 21 cards then you would divide 21 by 3 and get 7 which is your answer.
Answer:
or 6 gallons of gas.
Step-by-step explanation:
First, you have to convert both of your mixed numbers into a improper fractions.
2 = 9/4
4 = 26/6
Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.
Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM. Multiply both the nominator and the denominator by that number.
<em>4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.</em>
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Repeat that for the second fraction's denominator.
<em>6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12. </em>
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Then add both fractions together.
If you need to, simplify.
Hope that helped!
Answer:
first is a) option and second is b) option
If i’m seeing correctly, the cursor is covering a number for the measure of angle BCD. assuming that ABE is the same, as it looks, then it should be the number your cursor is covering.