How do I solve for F here?
Solve C = 5/9(F-32) for F
C = 5 / 9 ( F - 32 )
Multiply both sides by 9
9 C = 5 ( F - 32 )
9 C = 5 ∙ F - 5 ∙ 32
9 C = 5 F - 160
Add 160 to both sides
9 C + 160 = 5 F - 160 + 160
9 C + 160 = 5 F
Divide both sides by 5
9 C / 5 + 160 / 5 = 5 F / 5
9 / 5 C + 32 = F
F = 9 / 5 C + 32
°F = 9 / 5 °C + 32
To solve for F in the equation C = (5/9)(F-32), you can follow these steps:
1. Start by distributing the 5/9 to the terms inside the parentheses:
C = (5/9)F - (5/9)(32)
2. Simplify the right-hand side of the equation:
C = (5/9)F - (160/9)
3. Next, isolate the term with F on one side of the equation. To do this, add (160/9) to both sides of the equation:
C + (160/9) = (5/9)F
4. Now, the equation becomes:
(5/9)F = C + (160/9)
5. To isolate F, you need to multiply both sides of the equation by the reciprocal of (5/9), which is (9/5):
F = (9/5)(C + (160/9))
6. Simplify the right-hand side of the equation:
F = (9/5)C + (9/5)(160/9)
7. Finally, simplify further if necessary, but the equation is now in terms of F:
F = (9/5)C + 32
Therefore, the solution for F in terms of C is F = (9/5)C + 32.
To solve for F in the equation C = 5/9(F-32), we need to isolate F on one side of the equation. Here's how to do it step by step:
1. Start with the equation: C = 5/9(F-32).
2. Distribute the 5/9 to the terms inside the parentheses: C = (5/9)F - (5/9)32.
3. Simplify the right side of the equation: C = (5/9)F - 160/9.
4. Move the constant term (-160/9) to the other side of the equation: C + 160/9 = (5/9)F.
5. To further simplify, we can multiply both sides of the equation by the reciprocal of 5/9, which is 9/5: (9/5)(C + 160/9) = (9/5)(5/9)F.
6. Simplify both sides: (9/5)(C + 160/9) = F.
7. Distribute (9/5) to the terms inside the parentheses: (9/5)C + (9/5)(160/9) = F.
8. Simplify the right side of the equation: (9/5)C + 288/5 = F.
Therefore, the solution for F is F = (9/5)C + 288/5.