Answer:
14x - 9 + 8x + 3 = 9x - 8 - 3x - 14
Combine like terms:
14x + 8x - 9 + 3 = 9x - 3x - 8 - 14
22x - 6 = 6x - 22
Subtract 6x from both sides:
22x - 6x - 6 = 6x - 6x - 22
16x - 6 = -22
Add 6 to both sides:
16x - 6 + 6 = -22 + 6
16x = -16
Divide both sides by 16:
16x/16 = -16/16
x = -1. There is only one solution to this equation.
This is really simple if you understand it.
The rule (x,y)--->(x+8)(y-3) just tells you to add and subtract all 4 coordinates.
For example, the 1st coordinate -7,-2 . Add 8 to x (-7). 8-7 = 1
Subtract -3 from y. -2-3=-5
We can represent our three consecutive integers as the following:
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
Since the sum is 78, we can setup our equation:
x + (x + 1) + (x + 2) = 78
~simplify
3x + 3 = 78
~subtract 3 from both sides
3x = 75
~divide both sides by 3
x = 25
Since x = 25, x + 1 would be 26 and x + 2 would be 27.
So our three consecutive integers are 25, 26, and 27.
Question:
The taxi company charged a pick-up fee of $4.30 plus $1.25 per mile. The total fare was $35.55, not including the tip. How many miles was the taxi ride?
Answer:
total miles 25
Prove:
35.55-4.30=31.25
31.25/1.25= 25
<em><u>OR Explained</u></em>
sub 4.30 35.55 - 4.30 = 31.25
Divide 1.25 31.25/1.25 = 25
Final answer is 25
After dividing what you subtracted, you will successfully get your answer.
