Q. Find the missing number so that the equation has no solutions.____x+13=−4x−12
Identify Parallel Lines: When does an equation have no solutions?An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of x are the same, but the constants are different.
Determine Coefficients: We need to determine the missing number that will make the coefficients of x the same on both sides of the equation.____x + 13 = -4x - 12To have no solutions, the coefficient of x on the left side must be −4.
Check Constants: Now, we need to check if the constants are different with the coefficient we found.−4x+13=−4x−12The constants are 13 and −12, which are different.
Confirm No Solutions: Since the coefficients are the same and the constants are different, the equation will have no solutions. The missing number is −4.
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