Kaya used these steps to solve the equation 7+2x=2(x−1)+4. Which choice describes the meaning of her result, 7=2?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the equation:
7 + 2x = 2(x - 1) + 4
Solve the equation.
Solution:
In order to sovle the equation, we start first by distributing 2 to each value inside the parenthesis. Then combine similar terms.
7 + 2x = 2(x -1) + 4
7 + 2x = 2x - 2 + 4
7 + 2x = 2x + 2
Transpose 2 and 2x to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
7 - 2 = 2x - 2x
5 = 0
Since the value of x cancels out to 0, this means the there is no solution.
Final answer:
No solution