Respuesta :
5x + 2 = 6x + 11
5x - 6x = 11 - 2
-x = 9
x = -9
Since there is a solution, hence the equation is true.
5x - 6x = 11 - 2
-x = 9
x = -9
Since there is a solution, hence the equation is true.
The correct answer is:
True
Explanation:
An equation is false if there is no solution; open if there are an infinite amount of solutions; and true if there is one solution.
To solve this equation, we will gather all of the x's on the same side. To do this, subtract 6x from each side:
5x+2 = 6x+11
5x+2-6x = 6x+11-6x
-1x+2 = 11
Subtract 2 from each side:
-1x+2-2 = 11-2
-1x = 9
Divide both sides by -1:
-1x/-1 = 9/-1
x = -9
There is one solution, so this is true.