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Find the missing number so that the equation has infinitely many solutions.
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Q. Find the missing number so that the equation has infinitely many solutions.
- Identify Equation Sides: To determine the missing number for the equation to have infinitely many solutions, we need to make the left-hand side (LHS) and the right-hand side (RHS) identical.
- Ensure Coefficients Match: The LHS of the equation is . The RHS is -5x + ____. For the equation to have infinitely many solutions, the terms involving must have the same coefficient on both sides, which they already do, and the constant terms must also be equal.
- Find Missing Constant: Since the coefficients of are the same on both sides (), we need to find the constant term that will make the RHS equal to the LHS. This means we need to find the number that will replace the blank so that equals that number.
- Final Equation: The missing number that will make the constant term on the RHS equal to is simply itself. Therefore, the equation becomes .
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