how do I solve F = 5/9 (F-32) ?
I assume this is to calculate where °C and °F are the same?
F = 5/9 F - 5/9 * 32
4/9 F = -5/9 * 32
4F = -*32 = 160
F = -40
And, sure enough, -40°F is the same as -40°C
post it.
To solve the equation F = (5/9)(F-32), we need to isolate the variable F. Let's go through the steps together:
Step 1: Distribute the 5/9 to the terms inside the parentheses:
F = (5/9)F - (5/9)(32)
Step 2: Simplify the right side of the equation:
F = (5/9)F - (160/9)
Step 3: Move (5/9)F to the left side of the equation by subtracting it from both sides:
F - (5/9)F = (5/9)F - (5/9)F - (160/9)
Simplifying further, we get:
(4/9)F = - (160/9)
Step 4: Divide both sides of the equation by (4/9) to isolate F:
F = - (160/9) / (4/9)
Step 5: Simplify by dividing the numerator and denominator:
F = -160 / 4
Step 6: Divide -160 by 4 to get the final answer:
F = -40
Therefore, the solution to the equation F = (5/9)(F-32) is F = -40.