Which has a solution set of {-4}
3x+9=3
3x-9=-3
3x+9=-3
3x+9=3
show your work
Let's solve each equation step by step:
1) 3x + 9 = 3
First, let's isolate the variable x.
Subtract 9 from both sides of the equation:
3x + 9 - 9 = 3 - 9
3x = -6
Divide both sides of the equation by 3:
(3x)/3 = -6/3
x = -2
Therefore, the solution to the equation 3x + 9 = 3 is x = -2.
2) 3x - 9 = -3
Let's isolate the variable x in this equation as well.
Add 9 to both sides of the equation:
3x - 9 + 9 = -3 + 9
3x = 6
Divide both sides of the equation by 3:
(3x)/3 = 6/3
x = 2
So the solution to the equation 3x - 9 = -3 is x = 2.
3) 3x + 9 = -3
In this equation, let's isolate x once again.
Subtract 9 from both sides of the equation:
3x + 9 - 9 = -3 - 9
3x = -12
Divide both sides of the equation by 3:
(3x)/3 = -12/3
x = -4
Therefore, the solution to the equation 3x + 9 = -3 is x = -4.
4) 3x + 9 = 3
In this equation, we will isolate x again.
Subtract 9 from both sides of the equation:
3x + 9 - 9 = 3 - 9
3x = -6
Divide both sides of the equation by 3:
(3x)/3 = -6/3
x = -2
Thus, the solution to the equation 3x + 9 = 3 is x = -2.