solve equation 3(k-4.8)=0.7(k-6.9) show steps to solve this please
3(k-4.8)=0.7(k-6.9)
3*k-3*4.8=0.7*k-0.7*6.9
3k - 14.4 = 0.7k - 4.83
Subtracting 0.7k from each side:
3k -0.7k - 14.4 = 0.7k - 0.7k - 4.83
2.3k - 14.4 = -4.83
Adding 14.4 to each side
2.3k = 9.57
Dividing each side by 2.3:
k = 4.16
???? I don't understand. Or I'm just dumb as ever.
I'm pretty sure this is an essay question
To solve the equation 3(k-4.8) = 0.7(k-6.9), we need to simplify the equation by expanding and grouping like terms, and then isolate the variable "k" on one side.
Here are the step-by-step instructions to solve the equation:
Step 1: Distribute the equation
Multiply both terms inside the parentheses on both sides of the equation.
3(k-4.8) = 0.7(k-6.9)
3k - 3(4.8) = 0.7k - 0.7(6.9)
Simplify:
3k - 14.4 = 0.7k - 4.83
Step 2: Group like terms
Combine the "k" terms on the left side of the equation and the constant terms on the right side.
3k - 0.7k = -4.83 + 14.4
Simplify:
2.3k = 9.57
Step 3: Isolate "k"
To solve for "k," we need to isolate the variable. Divide both sides by the coefficient of "k," which is 2.3.
2.3k/2.3 = 9.57/2.3
Simplify:
k = 4.164
Therefore, the solution to the equation 3(k-4.8) = 0.7(k-6.9) is k = 4.164.