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DJ is solving the linear equation 18+7x-3=10x+15-3x. His final two steps follow. Select the statement that correctly interprets DJ's solution.A. The solution is x=0B. The solution is the ordered pair (15, 15)C. There are infinite solutions since 7x=7xD. There are no solutions since 7x≠7x

DJ Is Solving The Linear Equation 187x310x153x His Final Two Steps Follow Select The Statement That Correctly Interprets DJs SolutionA The Solution Is X0B The S class=

Answer :

SOLUTION

We are told that DJ was solving a linear equation

[tex]\begin{gathered} 18+7x-3=10x+15-3x \\ \text{which becomes } \\ 18-3+7x=10x-3x+15\text{ when he collects like terms, then } \\ 15+7x=7x+15 \\ \text{subtracting 15 from both sides } \\ 15-15+7x=7x+15-15 \\ 0+7x=7x+0 \\ 7x=7x \end{gathered}[/tex]

So, DJ's solution was correct.

Now since he got

[tex]7x=7x[/tex]

there are infinitely many solutions, because x can take any number.

Hence, there are infinite solutions since 7x = 7x

Therefore, the correct answer is option C

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