What value will complete the set of equations 15 over 3x−9 minus −4=12 and x≠ _____?(1 point) The value that completes the set of equations is x≠
x≠-3
To find the value that completes the set of equations, let's solve the given equation:
15/(3x - 9) - (-4) = 12
First, simplify the equation by multiplying -1 to -4:
15/(3x - 9) + 4 = 12
Next, subtract 4 from both sides to isolate the fraction:
15/(3x - 9) = 12 - 4
15/(3x - 9) = 8
Now, multiply both sides of the equation by (3x - 9) to eliminate the fraction:
15 = 8(3x - 9)
15 = 24x - 72
Next, add 72 to both sides of the equation:
15 + 72 = 24x
87 = 24x
Finally, divide both sides of the equation by 24 to solve for x:
87/24 = x
The value of x that completes the set of equations is x ≠ 87/24.
To find the value that completes the set of equations, we need to solve the equation and determine the value of x. Let's start by simplifying the given equation:
15/(3x - 9) - (-4) = 12
To simplify further, let's remove the negative sign from -(-4):
15/(3x - 9) + 4 = 12
Now, let's solve this equation step by step:
1. Subtract 4 from both sides of the equation:
15/(3x - 9) = 12 - 4
15/(3x - 9) = 8
2. Multiply both sides of the equation by (3x - 9) to get rid of the denominator:
15 = 8(3x - 9)
3. Distribute 8 on the right side of the equation:
15 = 24x - 72
4. Add 72 to both sides of the equation:
15 + 72 = 24x
87 = 24x
5. Divide both sides of the equation by 24 to solve for x:
x = 87/24
So, the value that completes the set of equations is x ≠ 87/24.