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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 Solutions: Identify when the 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 variables and the constants must be the same on both sides.
- Compare Coefficients: Compare the coefficients of the variable terms on both sides of the equation.The coefficient of on the left side is , and the coefficient of on the right side is also . Since we want the equation to have infinitely many solutions, the coefficients are already the same, and we do not need to change them.
- Determine Constant Term: Determine the missing constant term on the left side of the equation.For the equation to have infinitely many solutions, the constant term on the left side must be the same as the constant term on the right side. The constant term on the right side is .
- Write Final Equation: Write the final equation with the missing number filled in.The missing number is the constant term that will make the left side equal to the right side. Therefore, the missing number is .
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