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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 Identical Equations: Understand when an equation has infinitely many solutions. An equation has infinitely many solutions when both sides of the equation are identical. This means that the coefficients of the variable terms and the constant terms must be the same on both sides of the equation.
- Compare Variable Coefficients: Compare the coefficients of the variable terms.The coefficient of on the left side of the equation is , and the coefficient of on the right side of the equation is also . Since these coefficients are already the same, we do not need to change them.
- Determine Missing Constant: Determine the missing constant term.For the equation to have infinitely many solutions, the constant term on the right side must be the same as the constant term on the left side. The constant term on the left side is , so the missing number on the right side must also be .
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