Question

launch 7.3 whats the equation?
write the other side of this equation so that this equation is true for no values of u.
$6(u - 2) + 2 = $ _______________

Explanation:

Step1: Simplify left-hand side

First, expand and combine like terms for $6(u-2)+2$.
$6(u-2)+2 = 6u - 12 + 2 = 6u - 10$

Step2: Create a contradiction

To make the equation true for no $u$, we need an expression that can never equal $6u-10$. A parallel linear expression (same slope, different intercept) works. For example, $6u + 1$ (any expression where the coefficient of $u$ is 6 and the constant term is not -10, or a non-linear expression that can never match $6u-10$).

Answer:

$6u + 1$ (any expression such as $6u + c$ where $c
eq -10$, or a non-equivalent expression like $5u - 5$ will also work; $6u + 1$ is one valid example)