Solve the equation.
1. 5h - 9 = -16 + 6h (1 point)
A. 4
B. -7
C. 7
D. 10
I'm having trouble getting the answer, so I need help understanding.
5h - 9 = -16 + 6h
Add 16 to both sides.
5h - 9 + 16 = 6h
5h + 7 = 6h
Subtract 5h from both sides
7 = h
5h - 9 = -16 + 6h
subtract 5 h from both sides
- 9 = - 16 + 1 h
add 16 to both sides
7 = h
the end
That's what I got
To solve the equation 5h - 9 = -16 + 6h, we want to isolate the variable 'h' on one side of the equation.
Let's break down the steps needed to solve this equation:
Step 1: Move all terms containing 'h' to one side of the equation.
We can start by subtracting 6h from both sides of the equation:
5h - 6h - 9 = -16 + 6h - 6h
This simplifies to:
-h - 9 = -16
Step 2: Simplify the equation.
To simplify further, we can multiply both sides of the equation by -1 to eliminate the negative sign in front of '-h':
(-1)(-h - 9) = (-1)(-16)
This gives us:
h + 9 = 16
Step 3: Move the constant term to the other side of the equation.
We can subtract 9 from both sides of the equation:
h + 9 - 9 = 16 - 9
This simplifies to:
h = 7
Therefore, the solution to the equation 5h - 9 = -16 + 6h is h = 7.
The correct answer is option C.