write the following as an equation then solve
the sum of 9 times x and 3 is equal to 8 times x
9x + 3 = 8x
To solve for x, subtract 8x from both sides:
9x - 8x + 3 = 8x - 8x
x + 3 = 0
Next, subtract 3 from both sides:
x + 3 - 3 = 0 - 3
x = -3
The solution to the equation is x = -3.
To write the given statement as an equation, we can say:
9x + 3 = 8x
Now, let's solve for x:
First, we need to isolate the variable x on one side of the equation. We can do this by subtracting 8x from both sides:
9x - 8x + 3 = 8x - 8x
x + 3 = 0
Next, we subtract 3 from both sides to isolate the x-term:
x + 3 - 3 = 0 - 3
x = -3
Therefore, the solution to the equation is x = -3.
To write the given statement as an equation, we need to translate the words into mathematical symbols.
"The sum of 9 times x and 3 is equal to 8 times x."
The sum of 9 times x and 3 can be represented as (9x + 3).
Also, 8 times x can be represented as (8x).
So, the equation becomes:
9x + 3 = 8x
To solve this equation, we can use the properties of equations to isolate the variable x on one side of the equation. Here's how:
Step 1: Begin with the equation 9x + 3 = 8x.
Step 2: To move the 8x to the other side of the equation, subtract 8x from both sides:
9x + 3 - 8x = 8x - 8x
x + 3 = 0
Step 3: To isolate x, subtract 3 from both sides:
x + 3 - 3 = 0 - 3
x = -3
Therefore, the solution to the equation is x = -3.