Answer:
1/6
Step-by-step explanation:
Solve-
Subtract the numbers:
12m+12=15 - 1
12m+12 = 14
Subtract 12 form both sides of the equation:
12m+12= 14
12m+12-12 =14-12
Simplify:
Subtract 1: 12m+12-12=14-12
12m=14-12
then 2; 12m=14-12
12m=2
Divide both sides of the equation by the same term:
12m=2
12m/12=2/12
Simplify again:
Cancel out the terms:
12m/12=2/12
m=2/12
Divide the numbers:
m=2/12
m=1/6
Soulution= 1/6
This is the correct work, but your answer should be written as 5x/2.
4x - 3y = -11
-7x - 8y = 6
We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.
32x - 24y = -88
-21x - 24y = 18
Now we subtract,
53x = -106
x = -2
3y = 4x + 11 = 4(-2) + 11 = 3
y = 1
Answer: (x,y)=(-2,1)
Check:
4(-2) -3(1) = -8 - 3 = -11, good
-7(-2) - 8(1) = 14 - 8 = 6, good
Answer:
- m + m/4 + 3m/2 > 22
- m > 8 . . . . m restricted to multiples of 4, perhaps
Step-by-step explanation:
Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...
m +m/4 +3m/2 > 22
This has solution ...
(11/4)m > 22
m > (4/11)22
m > 8 . . . . . . . . the solution to the inequality
If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).
The solution set will be ...
m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)
