How do you figure out the equation;
3k/5 + 44 = 12k/25 +8
What you wrote or
3k/(5 + 44) = 12k/(25 +8)
Looks ok to me:
collect the k stuff:
3k/5 - 12k/25 = 8 - 44
15k/25 - 12k/25 = -36
3k/25 = -36
k = -300
check
3k/5 + 44 = -136
12k/25 + 8 = -136
To figure out the equation 3k/5 + 44 = 12k/25 + 8, we need to simplify and solve for the variable k.
Step 1: Get rid of the fractions by finding a common denominator for the fractions involved. In this case, the least common denominator (LCD) is 25, so we'll multiply both sides of the equation by 25:
25 * (3k/5 + 44) = 25 * (12k/25 + 8)
Simplifying this gives us:
15k + 1100 = 12k + 200
Step 2: Combine like terms. In this equation, we have k terms and constant terms on both sides:
15k - 12k = 200 - 1100
Simplifying this further gives us:
3k = -900
Step 3: Isolate the variable k. To do this, we'll move the constant term to the opposite side by subtracting 200 from both sides of the equation:
3k - 200 = -900 - 200
Simplifying further:
3k = -1100
Step 4: Solve for k by dividing both sides of the equation by 3:
(3k/3) = (-1100/3)
Simplifying this gives us:
k = -1100/3
Therefore, the solution to the equation 3k/5 + 44 = 12k/25 + 8 is:
k = -1100/3