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Equations, SM-Bank 032

Verify that \(x=0.3\) is a solution of the equation \(8x+0.5=2.9\).  (2 marks)

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\(\text{When}\ x=7\)

\(LHS\) \(=8x+0.5\)
  \(=8\times 0.3+0.5\)
  \(=2.4+0.5=2.9\)
  \(=RHS\)

  
\(\therefore\ x=0.3\ \text{ is a solution}\)

Equations, SM-Bank 031

Verify that \(x=7\) is a solution of the equation \(\dfrac{x-3}{2}=2\).  (2 marks)

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\(\text{When}\ x=7\)

\(LHS\) \(=\dfrac{x-3}{2}\)
  \(=\dfrac{7-3}{2}\)
  \(=\dfrac{4}{2}=2\)
  \(=RHS\)

  
\(\therefore\ x=7\ \text{ is a solution}\)

Equations, SM-Bank 030

Verify that \(x=\dfrac{3}{4}\) is a solution of the equation \(4x-5=-2\).  (2 marks)

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\(\text{When}\ x=\dfrac{3}{4}\)

\(LHS\) \(=4x-5\)
  \(=4\times \dfrac{3}{4}-5\)
  \(=3-5=-2\)
  \(=RHS\)

  
\(\therefore\ x=\dfrac{3}{4}\ \text{ is a solution}\)

Equations, SM-Bank 029

Verify that \(x=1.5\) is a solution of the equation \(\dfrac{2x}{3}+3=4\).  (2 marks)

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\(\text{When}\ x=1.5\)

\(LHS\) \(=\dfrac{2x}{3}+3\)
  \(=\dfrac{2\times 1.5}{3}+3\)
  \(=1+3=4\)
  \(=RHS\)

  
\(\therefore\ x=1.5\ \text{ is a solution}\)

Equations, SM-Bank 028

Verify that \(x=2\) is a solution of the equation \(2x+3=7\).  (2 marks)

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\(\text{When}\ x=2\)

\(LHS\) \(=2x+3\)
  \(=2\times 2 +3\)
  \(=7\)
  \(=RHS\)

  
\(\therefore\ x=2\ \text{ is a solution}\)