Q:

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no solution?

Accepted Solution

A:
Answer:3(x-2)+x=4x+6Step-by-step explanation:case 1) we have3(x-2)+x=4x-6Solve for x3x-6+x=4x-64x-6=4x-6 0=0 ----> is true for any value of xthereforeThe equation has infinite solutionscase 2) we have3(x-2)+x=2x-63x-6+x=2x-64x-2x=-6+62x=0x=0case 3) we have3(x-2)+x=3x-33x-6+x=3x-34x-3x=-3+6x=3case 4) we have3(x-2)+x=4x+63x-6+x=4x+64x-4x=6+60=12 ------> is not truethereforeThe equation has no solution