Question

Solve for x using common denominators. 4 over 6(x + 4) = x over (x + 4) A. −5/6 B. 5/6 C. −6/5 D. 6/5

Answer 1

To solve the equation 4 over 6(x + 4) = x over (x + 4) using common denominators, we can find a common denominator of (x + 4) and then solve the equation algebraically.

Step-by-step explanation:

To solve the equation, we need to find a common denominator. The common denominator in this case is (x + 4). We can rewrite the equation as:

4(x + 4) / 6(x + 4) = x / (x + 4)

Next, we can multiply both sides of the equation by 6(x + 4) to eliminate the denominators:

4(x + 4) = 6(x)

Expanding the equation gives:

4x + 16 = 6x

Move the terms with x to one side and the constant terms to the other side:

16 = 2x

Divide both sides of the equation by 2:

x = 8

Therefore, the solution to the equation is x = 8.

Answer 2

2/3 =x

Step-by-step explanation:

4 x

------- = ------------

6(x+4) x+4

Multiply the right side by 6/6

4 6 x

------- = ------------

6(x+4) 6( x+4)

Since the denominator is the same, the numerators have to be the same

4 = 6x

Divide each side by 6

4/6 =x

2/3 =x