Question

What value of c makes the equation true?
(PLEASE HELP, and look at the picture)

Answer 1

Answer:

$\displaystyle c = 8$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \frac{3}{6} = \frac{4}{c}$

Step 2: Solve for c

1. Simplify [Reduce]:                                                                                             $\displaystyle \frac{1}{2} = \frac{4}{c}$
2. [Multiplication Property of Equality] Cross-multiply:                                      $\displaystyle c = 8$

Answer 2

Answer:

c = 8

Step-by-step explanation:

$\small \sf \frac{3}{6} = \frac{4}{c }$

• Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

• multiply 6 and 4 to get 24

3c = 24

• divide both side by 3

$\small \sf \frac{3c }{3} = \frac{ 24} {3}$

$\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}}$

• Divide 24 by 3 to get 8.

c = 8