Question

Which of the statements is true for the two equations below?Equation A: 3(2x - 5) = 6x - 15Equation B:2 + 3x = 3x - 4O Equation A and Equation B have no solution.Equation A has an infinite number of solutions and Equation B has no solution.O Equation A and Equation B have an infinite number of solutions.O Equation A has no solution and Equation B has an infinite number of solutions.

Answer 1

In solving this question, we will solve both equations A and equation B and analyze what their solution will be:

Equation A:

`\begin{gathered} 3(2x-5)=6x-15 \\ 6x-15=6x-15 \\ -15=-15 \\ \text{Since the left-hand side of the equation is equal to the right-hand} \\ \text{side, equation A has an infinite number of solutions.} \end{gathered}`

Equation B:

`\begin{gathered} 2+3x=3x-4 \\ 2=-4 \\ Since\text{ left-hand side is not equal to the right-hand side, equation B has} \\ no\text{ solution.} \\ \\ \text{The correct answer is the second option.} \end{gathered}`