We observe that 14 is 4 more than twice 5.
The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.
Well, solve for x.
Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation
The 4x's will cross out on the right
4x - 4x = 0x = 0
On the left:
2x - 4x = -2x
Now the equation looks like:
-2x + 3 = 2
Continue to combine like terms by subtracting 3 on both sides of the equation
On the left:
3 - 3 = 0
On the right:
2 - 3 = -1
Equation:
-2x = -1
Isolate x by performing the opposite operation of dividing -2 on both sides of the equation
On the left:
-2x ÷ -2 = 1
On the right:
-1 ÷ -2 = 1/2
x= 1/2
So, there is only one solution: 1/2
Answer:
28
Step-by-step explanation:
The product of -4 and the unknown number n is -4n.
4 more than the product of -4 and the unknown number n is -4n + 4.
Letting n = -6 results in the value -4(-6) + 4, or 24 + 4, or 28.
Answer:
x=36
y=6
Step-by-step explanation:
Let the numbers be x and y
Condition 1
x=6y ----------(1)
Condition 2
x-y=30 ------------(2)
Putting 1 in 2
6y-y=30
5y=30
Dividing both sides by 5
y=6
Now
Putting y=6 in 1
We get
x=6(6)
x=36
