Q. Find the missing number so that the equation has no solutions.−2x−7=____x+20
Equation with No Solutions: 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.
Analysis of Given Equation: Let's analyze the given equation:−2x−7=____x+20To have no solutions, the coefficients of x must be the same on both sides of the equation, but the constants must be different.
Equate Coefficients of x: Let's equate the coefficients of x on both sides:-2 = ____The missing number must be −2 to have the same coefficients for x.
Check Constants: Now, let's check the constants:−7=20Since the constants are already different, we have ensured that the equation will have no solutions if the coefficients of x are the same.
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