Solve the equation.
5h – 9 = –16 + 6h
A. 4
B. –7
C. 7
D. 10
5 h – 9 = – 16 + 6 h
Subtract 5 h to both sides
5 h – 9 - 5 h = – 16 + 6 h - 5 h
– 9 = – 16 + h
Add 16 to both sides
– 9 + 16 = – 16 + h + 16
7 = h
h = 7
Answer C.
To solve the equation 5h - 9 = -16 + 6h, we need to isolate the variable h on one side.
Step 1: Distribute the negative sign (-) to terms inside the parentheses on the right side of the equation.
5h - 9 = -16 + 6h simplifies to:
5h - 9 = -16 - 6h
Step 2: Combine like terms on each side of the equation.
5h - 9 = -16 - 6h simplifies to:
5h + 6h = -16 - (-9) (Note: subtracting a negative equals addition)
11h = -16 + 9
11h = -7
Step 3: Divide both sides of the equation by 11 to solve for h.
11h = -7 simplifies to:
h = -7/11
Therefore, the solution to the equation is h = -7/11.
The answer is B. –7.
To solve the equation 5h - 9 = -16 + 6h, we first need to combine like terms on both sides of the equation.
Starting with the left side of the equation, we have 5h - 9.
On the right side of the equation, we have -16 + 6h.
To combine the terms on the right side, we can rearrange the equation to make it easier to add the like terms:
6h - 16.
Now, our equation is 5h - 9 = 6h - 16.
Next, we want to get all the h's on one side of the equation and all the constants on the other side. We can do this by subtracting 6h from both sides of the equation:
5h - 6h - 9 = 6h - 6h - 16.
This simplifies to:
-h - 9 = -16.
Now, we want to isolate the variable h by moving the constant term (-9) to the other side of the equation. We can do this by adding 9 to both sides:
-h - 9 + 9 = -16 + 9.
This simplifies to:
-h = -7.
Finally, we want to solve for h by isolating it. To do this, we can multiply both sides of the equation by -1, which will change the sign:
-1 * -h = -1 * -7.
This gives us:
h = 7.
Therefore, the solution to the equation is h = 7.
The correct answer is C. 7.