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.
is 9p + 8 = 10p + 7 a Open equation, a true equation, or a false equation
explain why
1 answer