Subject

For Each Value of U , Determine Whether It Is a Solution to -54=6(u-2) . Multirow(2)(}{ U ) & Multicolumn(2)(|c|)( Is It a Solution? )

Question

For each value of u , determine whether it is a solution to -54=6(u-2) . multirow(2)(}{ u ) & multicolumn(2)(|c|)( Is it a solution? ) cline ( 2 - 3 ) & Yes & No -4 & bigcirc & bigcirc -7 & bigcirc & bigcirc 1 & bigcirc & bigcirc 5 & bigcirc & bigcirc

Solution

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4.3 (267 Votes)

Madeleine Veteran · Tutor for 12 years

Answer

### \begin{array}{|c|c|c|}\hline\ \multirow{2}{}{\ u\ }\ &\ \multicolumn{2}{|c|}{\ Is\ it\ a\ solution?\ }\ \\\cline\ {\ 2\ -\ 3\ }\ &\ Yes\ &\ No\ \\\hline-4\ &\ \ &\ \ \bigcirc\ \ \\\hline-7\ &\ \ \bigcirc\ \ &\ \ \\\hline\ 1\ &\ \ &\ \ \bigcirc\ \ \\\hline\ 5\ &\ \ &\ \ \bigcirc\ \ \\\hline\end{array}

Explanation

## Step 1: Solve the equation for

### The given equation is \( -54 = 6(u - 2) \). To find

, we first isolate

by performing the following steps:

Divide both sides by 6:

Add 2 to both sides:

## Step 2: Verify each value of

### We need to check if each given value of

(-4, -7, 1, 5) satisfies the equation \( -54 = 6(u - 2) \).### For

:Substitute

into the equation:

So,

is not a solution.### For

:Substitute

into the equation:

So,

is a solution.### For

:Substitute

into the equation:

So,

is not a solution.### For

:Substitute

into the equation:

So,

is not a solution.