Answer:
The answer to your question is: 5 bottles
Step-by-step explanation:
Process
First week
Divide 24 by 8
24/8 = 3 bottles = 1/8
but Sanjay drank 3/8 = 9 bottles
And there are 24 - 9 bottles left = 15
- Second week
Divide 15 by 3
15/3 = 5 then 5 bottles = 1/3
but sanjay drank 2/3 = 10 bottles
Then, there are 15 - 10 bottles left = 5
Answer:
52 serves landed out
Explanation:
If you divide the number of serves in by 2 ( number that he lands in for every 6 serves) and then multiply by 4 ( number that land out for every 6 serves), you get 52 serves out.
Step 1.) Multiply both sides of the equation by -6
step 2.) Sum the equations vertically to eliminate at least one variable
step 3.) Divide both sides of the equation by
step 4.) Substitute the given value of into the equation x - 2y = 10
step 5.) Solve the equation for x
step 6.) The possible solution of the system is the ordered pair (x , y)
step 7.) Check if the given ordered pair is the solution of the system of equations
step 8.) Simplify the equalities
step 9.) Since all of the equalities are true, the ordered pair is the solution of the system
So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:
First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)
Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.
Substitute (2) into (1).
4x + 5(3x+9) = 7
Expand.
4x + 15x + 45 = 7
Group.
19x + 45 = 7
Shift +45 to the other side and turn it into -45.
19x = 7 - 45
19x = -38
Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2
Now we solved x already, we can just substitute x= - 2 back to equation (2).
y = 3(-2) + 9
y = - 6 + 9
y = 3
So, the answers are
x = - 2
y = 3
Well is this like history