Answer:
x = 1
y= -2
Step-by-step explanation:
to solve this system of equation , simultaneously using the substitution method
we say let
7 x + y = 5 ............................................. equation 1
2x - y = 4 ................................................... equation 2
from equation 2
2x - y = 4 ................................................... equation 2
2x - 4 = y
y = 2x -4.......................................................... equation 3
put the value of the y = 2x -4 into equation 1
7 x + y = 5 ............................................. equation 1
7x + 2x - 4 = 5
9x-4 = 5
9x = 5 + 4
9x = 9
divide both sides by the coefficient of x which is 9
9x/9 = 9/9
x = 1
substitute the value of x = 1 into equation 3
y = 2x -4.......................................................... equation 3
y = 2(1) -4
y = 2 - 4
y = -2
to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.
2x - y = 4 ................................................... equation 2
2(1) -(-2) = 4
2 + 2 = 4
4=4................................... proved
Answer:
Let X be the number of weeks.
2x - 16 = 14
we add 16 on both sides.
2x = 30
now we divide 2 on both sides to get rid of the 2 to the x, we want to get x on its own.
X = 15
Unfortunately, I can't do it on a graph here, but I will do it algebraically.
The solution on the graph will be the point of intersection of the two lines representing the equations.
y + 2.3 = 0.45x . . . . . (1)
-2y = 4.2x - 7.8 . . . . . (2)
From (2), y = 3.9 - 2.1x
substituting for y in (1), we have:
3.9 - 2.1x + 2.3 = 0.45x
2.55x = 6.2
x = 6.2/2.55 = 2.4
y = 3.9 - 2.1(2.4) = 3.9 - 5.04 = -1.2
Therefore, solution is (2.4, -1.2)
Answer:
$596
Step-by-step explanation:
So, firstly, let's take all the essential info and put it in bullet points:
- $200 moving fee
- $4 for every pot delivered safley
- $5 each per pot that is lost/broken
Next, what do we know about what's happened to the pots?
- 6 pots are lost
- 12 pots are broken
- 578 pots are supposed to be delivered
Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-
200
Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.
So, we can subtract that from the total payment.
200-18=182
Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:
578+18=596
So, the total amount you would be paying is $596.
Answer:
the sum is 24
hope this helps
Step-by-step explanation:
