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Does the following equation have one solution, no solutions, or infinitely many solutior 4-3x=-3(x-5)-7 1 2 ◻ ◻ 3 Tax Day Today United States 邓0 1//21 8- 68289 oes the following equation have one solution, no solutions, or infinitely many solutior This cannot be One None determined leah

Does the following equation have one solution, no solutions, or infinitely many solutior\newline4−3x=−3(x−5)−7 4-3 x=-3(x-5)-7 \newline11\newline22\newline□ \square \newline□ \square 33\newlineTax Day\newlineToday\newlineUnited States\newline邓00\newline1/21 1 / 21 \newline8− 8- \newline6828968289\newlineoes the following equation have one solution, no solutions, or infinitely many solutior\newlineThis cannot be\newlineOne\newlineNone determined\newlineleah

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Determine the number of solutions to a system of equations in three variablesright chevron icon

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Q. Does the following equation have one solution, no solutions, or infinitely many solutior\newline4−3x=−3(x−5)−7 4-3 x=-3(x-5)-7 \newline11\newline22\newline□ \square \newline□ \square 33\newlineTax Day\newlineToday\newlineUnited States\newline邓00\newline1/21 1 / 21 \newline8− 8- \newline6828968289\newlineoes the following equation have one solution, no solutions, or infinitely many solutior\newlineThis cannot be\newlineOne\newlineNone determined\newlineleah
  1. Distribute −3-3: First, let's distribute the −3-3 on the right side of the equation.\newline4−3x=−3(x−5)−74 - 3x = -3(x - 5) - 7\newline4−3x=−3x+15−74 - 3x = -3x + 15 - 7
  2. Combine like terms: Now, simplify the right side by combining like terms. 4−3x=−3x+84 - 3x = -3x + 8
  3. Isolate xx: Next, let's try to isolate xx by moving all terms with xx to one side and constants to the other side.\newlineBut, we notice that −3x-3x on both sides cancels each other out.\newlineSo we are left with 4=84 = 8, which is not true.
  4. Check for solution: Since 44 does not equal 88, this means there is no value of xx that can satisfy the equation.\newlineTherefore, the equation has no solution.

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