Question

Which equation has no solution?

Answer 1

Answer: B

Step-by-step explanation:

Answer 2

An equation with no solution will be an equation when simplified, will be an false statement.

1st option: $4(x+3)+2x=6(x+2)$

Firstly, foil 4(x+3) and 6(x+2). $4x+12+2x=6x+12$

Next, combine like terms. $6x+12=6x+12$

Next, subtract 6x and 12 on both sides of the equation, and your answer will be 0 = 0. Because this is a true statement, the 1st option is incorrect.

2nd Option: $5+2(3+2x)=x+3(x+1)$

Firstly, foil 2(3+2x) and 3(x+1). $5+6+4x=x+3x+3$

Next, combine like terms: $11+4x=4x+3$

Next, subtract 4x on each side of the equation to get $11\neq3$ . Since this is a false statement, this option has no solution. This is the correct option.