5h – 9 = –16 + 6h
Answer Choices:
4
–7
7
10
I need a step-by-step response cause I'm having a hard time understanding.
5 h – 9 = – 16 + 6 h Add 9 to both sides
5 h – 9 + 9 = – 16 + 6h + 9
5 h = – 7 + 6h Subtract 5 h to both sides
5 h - 5 h = - 7 + 6 h - 5 h
0 = - 7 + h Add 7 to both sides
0 + 7 = - 7 + h + 7
7 = h
h = 7
Proof :
5 h – 9 = – 16 + 6 h
5 * 7 - 9 = - 16 + 6 * 7
35 - 9 = - 16 + 42
26 = 26
Thank you, this makes a lot of sense.
To solve the given equation step-by-step, we will first combine the like terms on each side.
Let's start by simplifying the equation:
5h - 9 = -16 + 6h
Next, we can rearrange the terms and group the variables together:
5h - 6h = -16 + 9
Simplifying further, we can calculate:
-h = -7
Since there is a negative sign in front of the h, we can multiply both sides of the equation by -1 to isolate the variable:
(-1)(-h) = (-1)(-7)
This simplifies to:
h = 7
Therefore, the answer is 7.
To solve the equation 5h - 9 = -16 + 6h, follow these steps:
Step 1: Start by gathering the variables on one side of the equation. In this case, we have two h terms on both sides, so we need to move one of them to the other side to combine them. Let's move the 6h term to the left side by subtracting 6h from both sides:
5h - 6h - 9 = -16 + 6h - 6h
Simplifying this step, we get:
-h - 9 = -16
Step 2: Next, let's isolate the variable by getting rid of the constant term on the same side as the h term. In this equation, we can do this by adding 9 to both sides:
-h - 9 + 9 = -16 + 9
Simplifying this step, we get:
-h = -7
Step 3: Now, we need to solve for h. Since we have a negative h term, we can multiply both sides of the equation by -1 to simplify it:
(-1)(-h) = (-1)(-7)
The double negatives cancel out, leaving us with:
h = 7
So, the solution to the equation 5h - 9 = -16 + 6h is h = 7.
Therefore, the correct answer choice is 7.