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For which values of a and b will the fol...

For which values of a and b will the following pair of linear equations has infinitely many solutions ?
`x + 2y = 1`
` (a-b) x + (a + b ) y = a + b -2`

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To determine the values of \( a \) and \( b \) for which the given pair of linear equations has infinitely many solutions, we need to analyze the equations: 1. \( x + 2y = 1 \) (Equation 1) 2. \( (a-b)x + (a+b)y = a+b-2 \) (Equation 2) ### Step 1: Write the equations in standard form The standard form of a linear equation is \( Ax + By + C = 0 \). ...
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