Question
For each value of w , determine whether it is a solution to 6-4 w=14 . multirow(2)(}{ w ) & multicolumn(2)(|c|)( Is it a solution? ) cline ( 2 - 3 ) & Yes & No -5 & & -10 & & 7 & & 4 & &
Solution
4.5
(281 Votes)
Mariana
Professional ยท Tutor for 6 years
Answer
### \begin{array}{|c|c|c|}\hline\ \multirow{2}{}{\ w\ }\ &\ \multicolumn{2}{|c|}{\ Is\ it\ a\ solution?\ }\ \\\cline\ {\ 2\ -\ 3\ }\ &\ Yes\ &\ No\ \\\hline-5\ &\ &\ X\ \\\hline-10\ &\ &\ X\ \\\hline\ 7\ &\ &\ X\ \\\hline\ 4\ &\ &\ X\ \\\hline\end{array}
Explanation
## Step 1: Understand the equation### The given equation is
. We need to determine if each value of
satisfies this equation.## Step 2: Solve for
### To find the solution, we solve the equation for
:
Subtract 6 from both sides:
Divide by -4:
## Step 3: Check each value of
### Now we will check if each given value of
satisfies the equation
.1. For
:
So,
is not a solution.2. For
:
So,
is not a solution.3. For
:
So,
is not a solution.4. For
:
So,
is not a solution.