Can you check these problems?
3x+13=96
x=6
-8-7x=-120
x=8
Both are incorrect. Show your work and we can find the error.
Let's prove your answers.
(3 * 6) + 13 = 96
18 + 13 = 31 -- not 96.
The second one isn't right, either.
Try the first problem this way:
3x + 13 = 96
3x + 13 - 13 = 96 - 13
3x = 83
x = 27.66667
Please redo the second problem.
Sure! Let's go through them step by step.
Problem 1:
3x + 13 = 96
To solve for x, we want to isolate it on one side of the equation.
Step 1: First, we can start by subtracting 13 from both sides of the equation to get rid of the constant term.
3x + 13 - 13 = 96 - 13
3x = 83
Step 2: Now, since x is being multiplied by 3, we need to divide both sides of the equation by 3 to solve for x.
(3x)/3 = 83/3
x = 27.66 (rounded to two decimal places)
Therefore, the solution to the equation 3x + 13 = 96 is x = 27.66.
Problem 2:
-8 - 7x = -120
Similarly, we want to isolate x on one side of the equation.
Step 1: Start by adding 8 to both sides of the equation to move the constant term to the other side.
-8 + 8 - 7x = -120 + 8
-7x = -112
Step 2: To solve for x, we need to divide both sides of the equation by -7 (the coefficient of x).
(-7x)/(-7) = -112/(-7)
x = 16
Therefore, the solution to the equation -8 - 7x = -120 is x = 16.
Now let's check the solutions.
- For the first problem, substitute x = 27.66 back into the equation:
3(27.66) + 13 = 96
82.98 + 13 = 96
95.98 = 96
The left and right sides of the equation are not equal, which means x = 27.66 is not the correct solution.
- For the second problem, substitute x = 16 back into the equation:
-8 - 7(16) = -120
-8 - 112 = -120
-120 = -120
The left and right sides of the equation are equal, which means x = 16 is the correct solution.
So, the only correct solution is x = 16 for the equation -8 - 7x = -120.