Is the equation open, true, or false?
5x+2=6x+11
I think that is it true
To determine whether the equation 5x + 2 = 6x + 11 is open, true, or false, we need to solve for x.
First, let's simplify the equation by moving the x terms to one side and the constant terms to the other side.
5x - 6x = 11 - 2
Simplifying further gives us:
-x = 9
To solve for x, we can multiply both sides of the equation by -1 to make the coefficient of x positive:
(-1)(-x) = (-1)(9)
This yields:
x = -9
Now we have determined the value of x that satisfies the equation. To check if the equation is open, true, or false, we substitute the value we found for x back into the original equation:
5(-9) + 2 = 6(-9) + 11
Simplifying this equation gives us:
-45 + 2 = -54 + 11
-43 = -43
Since both sides of the equation are equal, the equation is satisfied and thus true.