Answer:
A. 4(x + 8) = 56
Step-by-step explanation:
the correct equation would be 4(x + 8) = 56
because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday
$4 = number of dollars per hour
$56 = total on Saturday and Sunday
8 hours = Number of hours babysat on Sunday
x = hours spent on Saturday
4(x + 8) = 56
Step 1: Simplify both sides of the equation.
4(x + 8) = 56
(4)(x) + (4)(8) = 56(Distribute)
4x + 32 = 56
Step 2: Subtract 32 from both sides.
4x + 32 − 32 = 56 − 32
4x = 24
Step 3: Divide both sides by 4.
4x/4 = 24/4
x = 6
To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is
6(4) + 8(4) = 56
24 + 32 = 56
56 = 56
or you could substitute the answer in the problem
4(6 + 8) = 56
Distribute
24 + 32 = 56
Simplify
56 = 56
10.…….……......................
Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
-32x - 207 = -15
-32x = 192 [Add 207 to both side]
x = -6 [Divide -32 from both side]
-4x + y = 23
-4(-6) + y = 23 [Plug in -6 for x]
24 + y = 23 [Subtract 24 from both side]
y = -1
