What is the solution of 7k+2=4k-10? Use one of the reasons from the box to justify each step. You may use a reason more than once.
7k+2=4k-10
7k+2-4k=4k-10-4k
3k+2=-10
3k+2-2=-10-2
3k=-12
3k/3=-12/3
k=-4
the reasons in the box are: Division Property of Equality, Simplify, Subtraction Property of Equality, and Subtract
What they are asking for this question is take the things form the box, as @cat said. and put them in the same order that they were solving the problem in.... Idk if that's what they are asking butt ye
I don't know what help you want.
Your solution steps are perfectly fine and correct
and your answer is correct.
Nobody will know what "reasons from the box" is supposed to mean.
I needed you to check. Thank you!
To solve the equation 7k + 2 = 4k - 10, we can follow these steps:
Step 1: Simplify both sides by combining like terms.
Reason: By combining the terms on each side, we can make the equation easier to work with.
Starting with the given equation: 7k + 2 = 4k - 10
We can subtract 4k from both sides to get rid of the 4k on the right side:
7k + 2 - 4k = 4k - 10 - 4k
This simplifies to: 3k + 2 = -10
Step 2: Further simplify the equation by isolating the variable term.
Reason: By isolating the variable term, we can solve for k.
To isolate the 3k term on the left side, we subtract 2 from both sides:
3k + 2 - 2 = -10 - 2
This simplifies to: 3k = -12
Step 3: Solve for k by dividing both sides by 3.
Reason: Dividing both sides of the equation by the coefficient of k will isolate the variable k.
We divide both sides by 3 to solve for k:
3k / 3 = -12 / 3
This simplifies to: k = -4
Therefore, the solution to the equation 7k + 2 = 4k - 10 is k = -4.