Find the missing number so that the equation has no solutions. ____x + 20 = -2x + 2

Question

Bytelearn · Accepted Answer

Identifying No Solutions: Understanding when an equation has 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.Analyzing Given Equation: Analyzing the given equation. We have the equation ____x + 20 = -2x + 2. To have no solutions, the coefficient of x on both sides must be the same, but the constants must be different.Equating Coefficients of x: Equating the coefficients of x. To have no solutions, the missing coefficient of x must be equal to -2. So, we replace the blank with -2. -2x + 20 = -2x + 2Checking Constants: Checking the constants. Now, we have -2x + 20 on the left side and -2x + 2 on the right side. The coefficients of x are the same, but the constants are different (20 ≠ 2). This confirms that the equation will have no solutions.

Find the missing number so that the equation has no solutions. $\newline$ $\_\_\_\_x + 20 = -2x + 2$

Full solution

More problems from Create equations with no solutions or infinitely many solutions

Related topics

Find the missing number so that the equation has no solutions.\newline____x+20=−2x+2\_\_\_\_x + 20 = -2x + 2____x+20=−2x+2

Find the missing number so that the equation has no solutions. $\newline$ $\_\_\_\_x + 20 = -2x + 2$