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43 votes
43 votes
Select all equations that have one solution. O3-%-2) = 3(2-2) x+x-(x + x) = 2x-x+2 0 2 x + 2 x+2 = 4x+2 (4x-8) = 18 7 1 / 2 ( x) = x + 1 / 2

User Holz
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1 Answer

16 votes
16 votes

\begin{gathered} -3(-x-2)=3(x-2) \\ -3(-x-2)-3(x-2)=0 \\ 3x+6-3x+6=0 \\ 6=0 \\ \text{ No solution} \end{gathered}

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\begin{gathered} x+x-(x+x)=2x-x+2 \\ 2x-2x=2x-x+2 \\ 0=x+2 \\ x=-2 \end{gathered}

This equation has one solution.

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\begin{gathered} 2x+2x+2=4x+2 \\ 4x+2=4x+2 \\ \end{gathered}

This equation has infinite solutions

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\begin{gathered} (3)/(4)(4x-8)=18 \\ 3x-6=18 \\ 3x=24 \\ x=8 \end{gathered}

This equation has one solution

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\begin{gathered} (1)/(9)x=x-(1)/(2) \\ (8)/(9)x=(1)/(2) \\ x=(9)/(16) \end{gathered}

This equation has one solution

User POSH Guy
by
2.7k points
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