Question

4k+3=1/4(8k+16)

Solve each equation and state whether the equation has one solution,no solution,or identity

Answer 1

MAKE SURE YOU FOLLOW THE STEPS. >:(

Let's solve the equation step by step:

4k + 3 = (1/4)(8k + 16)

First, let's get rid of the fraction by multiplying both sides of the equation by 4 to clear the fraction:

4(4k + 3) = 4(1/4)(8k + 16)

16k + 12 = 8k + 16

Now, let's isolate the variable k by moving the 8k from the right side to the left side of the equation and moving the constant terms to the right side:

16k - 8k = 16 - 12

8k = 4

Now, divide both sides by 8 to solve for k:

k = 4/8

k = 1/2

So, the solution to the equation is k = 1/2.

This equation has one solution, which is k = 1/2.