To solve the equation p-5=7/4(t-2), we need to isolate the variable p on one side of the equation.
First, let's distribute the 7/4 to the terms inside the parentheses:
p - 5 = (7/4)(t) - (7/4)(2)
Next, simplify the right side of the equation:
p - 5 = 7t/4 - 14/4
To combine the fractions, we need a common denominator, which is 4 in this case:
p - 5 = (7t - 14)/4
To isolate p, we can add 5 to both sides of the equation:
p - 5 + 5 = (7t - 14)/4 + 5
Simplifying further:
p = (7t - 14)/4 + 20/4
p = (7t + 6)/4
So, the equation p-5=7/4(t-2) simplifies to p = (7t + 6)/4.
In this equation, p represents a value that depends on the value of t. To find the value of p, you can substitute different values for t and simplify the expression on the right side of the equation. For example, if t = 3, then p = (7(3) + 6)/4 = 27/4.
