Question

Which of the following functions are linear?

Function A
x 3 6 9 12 15
y 9 36 81 144 225

Function B
x 5 10 15 20 25
y 8 16 24 32 40
A. Function A
B. Function B
C. Function A and Function B
D. None of the above

Answer 1

Answer:

5x+9+5x=30+7x+15+15

Simplifying

5x + 9 + 5x = 30 + 7x + 15 + 15

Reorder the terms:

9 + 5x + 5x = 30 + 7x + 15 + 15

Combine like terms: 5x + 5x = 10x

9 + 10x = 30 + 7x + 15 + 15

Reorder the terms:

9 + 10x = 30 + 15 + 15 + 7x

Combine like terms: 30 + 15 = 45

9 + 10x = 45 + 15 + 7x

Combine like terms: 45 + 15 = 60

9 + 10x = 60 + 7x

Solving

9 + 10x = 60 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

9 + 10x + -7x = 60 + 7x + -7x

Combine like terms: 10x + -7x = 3x

9 + 3x = 60 + 7x + -7x

Combine like terms: 7x + -7x = 0

9 + 3x = 60 + 0

9 + 3x = 60

Add '-9' to each side of the equation.

9 + -9 + 3x = 60 + -9

Combine like terms: 9 + -9 = 0

0 + 3x = 60 + -9

3x = 60 + -9

Combine like terms: 60 + -9 = 51

3x = 51

Divide each side by '3'.

x = 17

Simplifying

x = 17

hope its helpful