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9 grade maths

Solve the following equation by transposing the term 2a - 3 = 5

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To solve the equation \(2a - 3 = 5\), we can isolate the variable \(a\) by transposing the terms. Here’s how to do it step by step:

Step 1: Add 3 to Both Sides

First, we want to eliminate the \(-3\) on the left side. We do this by adding \(3\) to both sides of the equation:

  • Original equation: \(2a - 3 = 5\)
  • Add \(3\): \(2a - 3 + 3 = 5 + 3\)
  • This simplifies to: \(2a = 8\)

Step 2: Divide by 2

Next, we need to solve for \(a\) by dividing both sides by \(2\):

  • Equation: \(2a = 8\)
  • Divide by \(2\): \(a = \frac{8}{2}\)
  • This gives us: \(a = 4\)

Final Result

The solution to the equation \(2a - 3 = 5\) is \(a = 4\).