Is the equation true, false, or open? 9p+8=10p+7
open
To determine if the equation 9p + 8 = 10p + 7 is true, false, or open, we need to simplify the equation and compare the coefficients.
First, let's subtract 9p from both sides of the equation to isolate the variable p:
8 = p + 7
Next, subtract 7 from both sides of the equation to further isolate the variable p:
1 = p
Therefore, the equation simplifies to 1 = p, which means p = 1.
Based on these steps, we can say that the equation is true when p = 1.
To determine if the equation 9p + 8 = 10p + 7 is true, false, or open, we need to solve the equation and see if it leads to a valid solution.
To solve the equation, follow these steps:
Step 1: Start by simplifying both sides of the equation by combining like terms.
- On the left side, we have 9p + 8.
- On the right side, we have 10p + 7.
- Hence, the equation becomes: 9p + 8 = 10p + 7.
Step 2: Next, eliminate the variable on one side of the equation by moving all terms with "p" to one side and all constants to the other side. In this case, we can move the 9p term to the right side by subtracting 9p from both sides of the equation.
After subtracting 9p from both sides, we get: 8 = p + 7.
Step 3: Now, isolate the variable "p" by moving the constant term to the other side of the equation. Since 7 is added to "p," we can subtract 7 from both sides of the equation.
After subtracting 7 from both sides, we have: 8 - 7 = p.
Simplifying this further, we get: 1 = p.
So, the solution to the equation is p = 1.
Now, coming back to the original question: Is the equation true, false, or open?
Since we found a value for "p" that satisfies the equation (p = 1), we can conclude that the equation 9p + 8 = 10p + 7 is true.
1.A
2.A
3.A
4.B
5.A
6.D
7.C
8.C
9.B
10.D
11.C
12.B
13.A
14.C
15.D
16.D
17.D
18.A
19.B