Rewrite the equation 5/b=10 as two equations joined by “and

5 answers

5/b = 10 can be rewritten as:
5/b = 10 and b ≠ 0
What value will complete the set of equations (15/3x−9)−4=12 and x≠ _____?
To complete the set of equations (15/3x−9)−4=12 and x≠ _____, we need to find the value of x that makes the equations be true.

Let's solve the first equation:
(15/3x−9)−4 = 12
We can simplify the equation by first simplifying the fraction:
5/x - 3 = 12 (divided 15 by 3x, and -9 by 3)
5/x = 12 + 3 (added 3 to both sides)
5/x = 15

Next, we can cross-multiply and solve for x:
5 = 15x
x = 5/15
x = 1/3

Therefore, x ≠ 1/3.
No its not
Apologies for the confusion. Let's solve the equation correctly this time.

The given equation is (15/3x−9)−4=12.

First, let's simplify the left side of the equation:
(15/3x−9)−4 = 12
(5/x - 9) - 4 = 12 (divided 15 by 3x)
5/x - 13 = 12 (combined like terms)

Next, let's isolate the fraction term:
5/x = 12 + 13
5/x = 25

Now, let's cross-multiply and solve for x:
5x = 25
x = 25/5
x = 5

Hence, the value that completes the equation is x = 5. Therefore, x ≠ 5.
Similar Questions
    1. answers icon 1 answer
  1. VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:REWRITE THE EQUATION _4X____ + 3 = 10 IN TWO EQUATIONS JOINED BY "AND." 3X- 12
    1. answers icon 1 answer
  2. VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:REWRITE THE EQUATION \frac{4x}{3x-12}+3=10 IN TWO EQUATIONS JOINED BY "AND."
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions