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For the pair of equations lambdax + 3y +...

For the pair of equations `lambdax + 3y + 7 = 0` and ` 2x + 6y - 14 = 0`. To have infinitely many solutions, the value of `lambda` should be 1 . Is the statement true ? Give reasons.

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To determine whether the statement "the value of lambda should be 1 for the pair of equations to have infinitely many solutions" is true, we will analyze the given equations step by step. ### Step 1: Write down the given equations The equations provided are: 1. \( \lambda x + 3y + 7 = 0 \) (Equation 1) 2. \( 2x + 6y - 14 = 0 \) (Equation 2) ### Step 2: Rearrange the equations into standard form ...
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