Q 1. Is the equation true, false, or open? 3x + 1 = 22
(1 point)
The equation 3x + 1 = 22 is true when x = 7.
To determine if the equation 3x + 1 = 22 is true, false, or open, we need to solve the equation.
Step 1: Subtract 1 from both sides of the equation:
3x + 1 - 1 = 22 - 1
3x = 21
Step 2: Divide both sides of the equation by 3:
3x/3 = 21/3
x = 7
Therefore, the solution to the equation is x = 7.
Since there is a unique solution for x, the equation 3x + 1 = 22 is true.
To determine whether the equation 3x + 1 = 22 is true, false, or open, we need to solve the equation for x and then evaluate the value of x.
Let's solve the equation step by step:
3x + 1 = 22
To isolate the variable x, we need to get rid of the constant term 1. We can do this by subtracting 1 from both sides of the equation:
3x = 22 - 1
3x = 21
Next, we divide both sides of the equation by the coefficient of x, which is 3, in order to solve for x:
x = 21 / 3
x = 7
Now that we know the value of x is 7, we can substitute it into the original equation to check if it is true:
3(7) + 1 = 22
21 + 1 = 22
22 = 22
Since both sides of the equation are equal, the original equation is true. Therefore, the equation 3x + 1 = 22 is true.