Answer:
x=6 and y=2
Step-by-step explanation:
3x+5y=28
−4x−5y=−34
Add these equations to eliminate y:
−x=−6
Then solve −x=−6 for x:
−x=−6
(Divide both sides by -1)
x=6
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+5y=28
Substitute 6 for x in 3x+5y=28:
(3)(6)+5y=28
5y+18=28 (Simplify both sides of the equation)
5y+18+−18=28+−18 (Add -18 to both sides)
5y=10
(Divide both sides by 5)
y=2
Length (L): 4w - 5
width (w): w
Perimeter (P) = 2L + 2w
140 = 2(4w - 5) + 2(w)
140 = 8w - 10 + 2w
140 = 10w - 10
150 = 10w
15 = w
Length (L): 4w - 5 = 4(15) - 5 = 60 - 5 = 55
Answer: width= 15meters, length=55 meters
Answer: 1
Step-by-step explanation: you need to get “like terms” by themselves. So to start, you can subtract 3x from both sides. Since the right side contains 3x and you are subtracting 3x, it will cancel on the right hand side, leaving you with the equation: 5x-4=1. Now, since the 4 is just 4, it does not fit in with the 5x. So, you need the 4 on the other side with the 1 because they are alike! So you will add 4 to both sides in order to cancel out the minus 4 on the left. Leaving you with 5x=5. You want to find what x stands for, so now since 5 and x are multiplying, we will divide both sides by 5 because we want x by itself! This leaves you with x=1.
Answer:
8 assistant caregivers
7 senior caregivers
Step-by-step explanation:
6 assistant caregivers (current) + 2 assistant caregivers (new)
= 8 total assistant caregivers
(6 + 2 = 8)
4 senior caregivers (current) + 3 senior caregivers (new)
= 7 total senior caregivers
(4 + 3 = 7)