Question

Determine whether the equation 14+3x-7=7x+7-4x has one solution, no solution, or infinite solutions. Show work to support your answer.

Answer 1

14 + 3x - 7 = 7x + 7 - 4x

Add or subtract similar terms

=> 7 + 3x = 3x + 7

=> it has infinite solutions because no matter the value of x always the left side, 7 + 3x, is equal to the right side, 3x + 7

Answer: infinite solutions