Please help with this problem
-38=-4k-8+4k-28
-38=k-8-28
-38=k-36
-36 -3-74=k
-74=k
where did the k come from in line 2 ?
-4k+4k = 0 , so your k's disappear
-38=-4k-8+4k-28
-38 = -36
which is a false statement, so there is no solution
If your variable disappears and you have
- a true statement, there will be an infinite number of solutions
- a false statement, like in your case, there is no solution.
To solve the equation -38 = -4k - 8 + 4k - 28, we can simplify it step by step:
Step 1: Combine like terms on both sides of the equation.
-38 = -4k + 4k - 8 - 28
-38 = 0 -8 - 28
-38 = - 36 - 28
Step 2: Simplify further by combining like terms.
-38 = -36 - 36
-38 = -74
Step 3: Since -38 does not equal -74, the equation is inconsistent, and there is no solution for k that satisfies the equation.
In summary, the given equation -38 = -4k - 8 + 4k - 28 has no solution.