Question

Find the missing number so that the equation has no solutions.

___X – 10 = -x - 9 - x".
a) 1
b) -1
c) 9
d) -9

Answer 1

To find the missing number so that the equation has no solutions, we can solve the equation step by step. The missing number is not provided in the options given.

Step-by-step explanation:

To find the missing number so that the equation has no solutions, we can solve the equation step by step. The given equation is ___X – 10 = -x - 9 - x'.

1. Combine like terms on the right side of the equation: -2x - 9.
2. Combine like terms on the left side of the equation: ___X.
3. The equation becomes ___X - 10 = -2x - 9
4. Now, we need to solve for x.
5. Subtract -2x from both sides of the equation, which gives us ___X + 2x - 10 = -9.
6. Combine like terms on the left side of the equation: 3x - 10 = -9.
7. Add 10 to both sides of the equation, which gives us 3x - 10 + 10 = -9 + 10.
8. Combine like terms on the left side of the equation: 3x = 1.
9. Finally, divide both sides of the equation by 3 to solve for x: x = 1/3.

Therefore, the missing number that would make the equation have no solutions is not provided in the options given.