Question

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

Answer 1

c = 8

Explanation:

`\small \sf (3)/(6) = (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 (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

Answer 2

`\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

Explanation:

Step 1: Define

Identify

`\displaystyle (3)/(6) = (4)/(c)`

Step 2: Solve for c

1. Simplify [Reduce]:
   `\displaystyle (1)/(2) = (4)/(c)`
2. [Multiplication Property of Equality] Cross-multiply:
   `\displaystyle c = 8`