Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
Answers
Step-by-step explanation:
The trend shows an increase of urbanization by almost 4 percent in the last decade, meaning people have moved away from rural areas to find work and make a living in the cities.
Answer:
Maricella’s strategy is incorrect
Ans: x = 2
Step-by-step explanation:
4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1
or
4x - 2 (3x - 4) + 4 = -x + 3 (x + 1) + 1
Adding –4 + 4 and (-)1 + 1 to LHS is incorrect.
She should add -4 to both LHS & RHS to get:
4x - 2 (3x - 4) + 4 -4 = -x + 3 (x + 1) + 1 -4
which will give
4x - 2 (3x - 4) = -x + 3 (x + 1) -3
Simplifying further,
4x -6x+8 = -x +3x+3 -3
-2x+8 = 2x
or 2x = -2x+8 (Interchanging LHS & RHS)
Adding 2x to both LHS & RHS
2x + 2x = -2x+8 + 2x
4x = 8
Dividing by 4 both the sides,
4x/4 = 8/4
∴ x = 2