Answer:
y=2x-1
Step-by-step explanation:
The answer is 16 because 16+2=18-4=14
Answer:
The fraction is = 
Step-by-step explanation:
In simplest form the fraction is represented in mixed number as
.
The fraction form of the mixed number can be given as :

Let the fraction be =
[As multiplying same numbers to numerator and denominator does not affect the proportion.
Sum of numerator and denominator is = 30
This, can be represented as:

Solving for
.

Dividing both sides by 10.


So, the fraction will be = 
⇒ 
Answer:
B) Mode doesn't change.
Step-by-step explanation:
Given:
A set of data with 16 being added to the set.
The mode of a given set of data is the data that is repeated the most number of times.
Here, 19 is repeated 3 times, so the mode is 19.
Now, if a number other than that of 19 being added, doesn't affect the mode of the data set as 19 will still be 3 times and adding 16 will not increase its number in the set.
So, the correct option is B.
(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3