What value will complete the set of equations 15/3x−9 − 4=12
and x≠
_____?(1 point)
The value that completes the set of equations is x≠
We have the equation 15/(3x−9) − 4=12.
To find the value that completes the set of equations, we need to solve for x.
First, let's isolate the fraction by adding 4 to both sides of the equation:
15/(3x−9) = 12 + 4
15/(3x−9) = 16
Next, we can cross-multiply:
15 = 16(3x−9)
Expand the right side of the equation:
15 = 48x−144
Now, let's isolate x by adding 144 to both sides of the equation:
15 + 144 = 48x
159 = 48x
Finally, divide both sides of the equation by 48 to solve for x:
159/48 = x
x = 3.3125
Therefore, the value that completes the set of equations is x ≠ 3.3125.
To find the value that completes the set of equations, let's solve the equation 15/3x−9 − 4 = 12.
Step 1: Start by simplifying the left side of the equation.
15/3x−9 − 4 = 12
(5x - 9) - 4 = 12 (multiply 15/3 with x)
Step 2: Combine like terms on the left side.
5x - 9 - 4 = 12
5x - 13 = 12
Step 3: Add 13 to both sides to isolate the variable.
5x - 13 + 13 = 12 + 13
5x = 25
Step 4: Divide both sides by 5 to solve for x.
(5x)/5 = 25/5
x = 5
Therefore, the value that completes the set of equations is x = 5.
To find the value that completes the set of equations, we need to solve the equation 15/(3x-9) - 4 = 12.
First, we need to isolate the term with the variable. We can do this by adding 4 to both sides of the equation:
15/(3x-9) = 16
Next, we can cross-multiply to get rid of the fraction. Multiply 16 by the denominator (3x-9):
15 = 16(3x-9)
Now distribute 16 to both terms inside the parentheses:
15 = 48x - 144
To solve for x, we can start by moving the constant term to the other side of the equation by adding 144 to both sides:
15 + 144 = 48x
159 = 48x
Finally, divide both sides of the equation by 48 to solve for x:
x = 159/48
So the value of x that completes the set of equations is x = 159/48.