What value will complete the set of equations 153x−9−4=12

Question

15
3
𝑥
−
9
−
4
=
12
and x≠
𝑥
≠
_____?(1 point)
The value that completes the set of equations is x≠
𝑥
≠
.

Answer 1

To solve the equation \( 153x - 9 - 4 = 12 \), we will first simplify the left-hand side.

1. Combine like terms on the left: \[ 153x - 9 - 4 = 12 \implies 153x - 13 = 12 \]

2. Now, isolate the term with \( x \) by adding 13 to both sides: \[ 153x - 13 + 13 = 12 + 13 \implies 153x = 25 \]

3. Next, divide both sides by 153 to solve for \( x \): \[ x = \frac{25}{153} \]

So, the value of \( x \) that completes the equation is: \[ x = \frac{25}{153} \]

Given that \( x \) cannot take an infinite set of values (like zero), we can conclude that: \[ x \neq 0 \] Thus the complete value is: \[ x \neq 0 \]