Question

Find the missing number so that the equation has no solutions

–2x + 11 = x + 21 + __x

a
5
b
-2
c
-3
d
2

Answer 1

C.) -3

Explanation:

We're looking for an equation with NO SOLUTION.

A.) 5

-2x + 11 = x + 21 + 5x

x = -1.25.

A.) is INCORRECT

B.) -2

-2x + 11 = x + 21 + (-2)x

x = -10

B.) is INCORRECT

C.) -3

-2x + 11 = x + 21 + (-3)x

No solution

C.) is CORRECT

D.) 2

-2x + 11 = x + 21 + 2x

x = (-2)

D.) is INCORRECT

Answer 2

-3

Explanation:

Combining like terms,
`x-3x=-2x`. Since this means the variable terms on both sides combine to have the same coefficient, this means there are no solutions (since the constant terms differ).