The cost of a new math textbook and a study guide together is $58. Three of the math textbooks and two study guides cost $165. How much does one textbook alone cost?

Cost of one textbook = $49

Step-by-step explanation:

Given:

Cost of 1 textbook and 1 study guide = $58

Cost of 3 textbook and 2 study guide = $165

Find:

Cost of one textbook

Computation:

Assume,

Cost of one textbook = a

Cost of one study guide = b

So,

a + b = 58

b = 58 - a

3a + 2b = 165

3a + 2(58-a) = 165

3a - 2a + 116 = 165

a = 49

Cost of one textbook = $49

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3