Solve the equation. Determine if there there is no solution, infinite solutions, or one solution. —2 (x - 2) - 4x = 3 (x + 1) – 9x O Infinite Solutions O No Solution O One Solution; x = -1/12 O One Solution; x = -1
Mathematics · High School · Mon Jan 18 2021
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Given the equation:
-2(x - 2) - 4x = 3(x + 1) - 9x
Solve the equation and determine the number of solutions.
Solution:
In order to solve the equation, we simply need to distribute first -2 and 3 to their corresponding parenthesis, then combine like terms.
-2(x - 2) - 4x = 3(x + 1) - 9x
-2x + 4 - 4x = 3x + 3 - 9x
-6x + 4 = - 6x + 3
Transpose -6x from the right of the equation , and 4 to their opposite sides. Hence, we must take note that in transposing a number, the sign changes.
-6x + 6x = 3 - 4
0 = 1
Since the value of x is 0, we do not have any solution:
Final answer:
No solution