determin whether each equation has one solution no solution or infinite solutions 9 x + 2 equals -4 (x + 6)
you have
9x+2 = -4x-24
Clearly you can solve this for x, so one solution
If it had ended something like
9x+2 = 9x-3
then there would be no value of x that would make that true, since
2 ≠ -3
To determine whether the equation 9x + 2 = -4(x + 6) has one solution, no solution, or infinite solutions, we can solve the equation and observe the result.
First, let's simplify the equation:
9x + 2 = -4x - 24
Next, let's group the x terms on one side and the constant terms on the other side:
9x + 4x = -24 - 2
Combining like terms gives us:
13x = -26
Now, let's isolate x by dividing both sides of the equation by 13:
x = -26 / 13
Simplifying further:
x = -2
Since we obtained a single value for x, we can conclude that the equation has one solution.