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

and x≠
_____?(1 point)
The value that completes the set of equations is x≠
.

1 answer

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

  1. Combine the constants: \[ 153x - 9 - 4 = 153x - 13 \]

  2. Set the equation equal to 12: \[ 153x - 13 = 12 \]

  3. Add 13 to both sides to isolate the term with \( x \): \[ 153x = 12 + 13 \] \[ 153x = 25 \]

  4. Divide both sides by 153 to solve for \( x \): \[ x = \frac{25}{153} \]

Thus, the value that completes the set of equations is: \[ x \neq \frac{25}{153} \] which implies \( x \neq \frac{25}{153} \) to avoid any undefined solutions or contradictions in your equations.