Question 1 2x + 4 + x - 7 = 3(x-7) Add like terms, x-terms add 3x + 4 - 7 = 3(x-7) Subtract 7 from 4 3x - 3 = 3(x-7) Multiply out right side with distributive property, 3 times x, and 3 times -7 3x -3 = 3x - 21 Add 21 on each side to cancel -21 on right 3x + 18 = 3x This is impossible, 3x + 18 cannot equal 3x, plug value in to check, 3(1) + 18 = 3(1), 21 not equal to 3 Question 1 Answer : No Answer
Question 2 4(m-2) = -3(m-16) Multiply using distributive property on each side 4m - 8 = -3m + 48 Add 8 on each side to cancel -8 on left 4m = -3m + 56 Add 3m on each side to cancel -3m on right 7m = 56 Divide 7 on each side to make 7m : m m = 56/7 m = 8 Answer to Question 2 : 8
