3x + 2 = x + 8
A.
1.5
B.
2.5
C.
3
D.
5
To solve the equation 3x + 2 = x + 8, we need to isolate the variable x on one side of the equation.
First, subtract x from both sides:
3x + 2 - x = x + 8 - x
2x + 2 = 8
Next, subtract 2 from both sides:
2x + 2 - 2 = 8 - 2
2x = 6
Finally, divide both sides by 2 to solve for x:
2x / 2 = 6 / 2
x = 3
Therefore, the solution is x = 3.
C. 3
A line is shown on the coordinate plane.
(9,2)
represent the equation of the line.
To represent the equation of a line, we need the slope and a point on the line.
The given point (9,2) is a point on the line. Let's assume it is P.
Since we do not have any other information or another point, we cannot determine the slope of the line. Therefore, we cannot determine the equation of the line with the given information.
Without more information or another point on the line, we cannot represent the equation of the line.
To solve the equation 3x + 2 = x + 8, you can follow these steps:
Step 1: Combine like terms on both sides of the equation.
Subtract x from both sides:
3x - x + 2 = x - x + 8
2x + 2 = 8
Step 2: Move the constant term to the other side of the equation.
Subtract 2 from both sides:
2x + 2 - 2 = 8 - 2
2x = 6
Step 3: Solve for x by dividing both sides by the coefficient of x.
Divide both sides by 2:
2x / 2 = 6 / 2
x = 3
Therefore, the solution to the equation 3x + 2 = x + 8 is x = 3.
So, the correct statement is: C. 3.
To find the value of x in the equation 3x + 2 = x + 8, you need to isolate x on one side of the equation.
First, you can start by simplifying both sides of the equation by combining like terms. Subtract x from both sides of the equation to move the x terms to one side:
3x - x + 2 = x - x + 8.
This simplifies to:
2x + 2 = 8.
Next, you want to isolate the x term by subtracting 2 from both sides of the equation:
2x + 2 - 2 = 8 - 2,
which simplifies to:
2x = 6.
Finally, divide both sides of the equation by 2 to solve for x:
2x/2 = 6/2,
which gives you:
x = 3.
Therefore, the correct answer is C. 3.