is 9p + 8 = 10p + 7 a Open equation, a true equation, or a false equation
explain why
The equation "9p + 8 = 10p + 7" is a true equation.
In order to determine whether an equation is open, true, or false, we need to solve it and see if it holds true for all values of the variable.
To solve the equation, we can start by isolating the variable terms by subtracting 10p from both sides:
(9p + 8) - 10p = (10p + 7) - 10p
9p - 10p + 8 = 7
Combining like terms, we get:
-p + 8 = 7
Next, we can isolate the variable term by subtracting 8 from both sides:
(-p + 8) - 8 = 7 - 8
-p = -1
Finally, we can solve for p by multiplying both sides by -1 to get rid of the negative sign:
(-1)(-p) = (-1)(-1)
p = 1
After solving for p, we can substitute the value of p back into the original equation:
9p + 8 = 10p + 7
9(1) + 8 = 10(1) + 7
9 + 8 = 10 + 7
17 = 17
Since the equation holds true for the value we found for p (p = 1), the original equation "9p + 8 = 10p + 7" is a true equation.
To determine whether the equation 9p + 8 = 10p + 7 is an open equation, a true equation, or a false equation, we can start by simplifying both sides of the equation.
9p + 8 = 10p + 7 can be simplified by subtracting 9p from both sides:
8 = p + 7
Next, we can solve for p by subtracting 7 from both sides:
8 - 7 = p
1 = p
Now that we have found the value of p, we can substitute it back into the original equation to check if it is true:
9(1) + 8 = 10(1) + 7
9 + 8 = 10 + 7
17 = 17
Since both sides of the equation are equal, we can conclude that the equation 9p + 8 = 10p + 7 is a true equation.
To determine if the equation 9p + 8 = 10p + 7 is open, true, or false, we need to solve it.
First, let's simplify the equation by eliminating any like terms:
9p + 8 = 10p + 7
Next, let's isolate the variable (p) on one side of the equation. To do this, we can subtract 9p from both sides:
8 = 10p - 9p + 7
Simplifying further:
8 = p + 7
To isolate p, we can subtract 7 from both sides:
8 - 7 = p + 7 - 7
1 = p
Now we have p = 1, which means that the equation 9p + 8 = 10p + 7 holds true when p is equal to 1.
Therefore, the equation 9p + 8 = 10p + 7 is a true equation.