9514 1404 393
Answer:
1. f = 9/a +7
2. x = (y -5)/3
3. x = 3/(y +2)
4. l = (P +9)/4
Step-by-step explanation:
I find it convenient to use the fact that a=b/c can be rewritten as c=b/a:
[tex]a=\dfrac{b}{c}\qquad\text{given}\\\\ac=b\qquad\text{multiply by $c$}\\\\c=\dfrac{b}{a}\qquad\text{divide by $a$, effectively swapping $a$ and $c$}[/tex]
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1. f - 7 = 9/a . . . . use the above shortcut
f = 9/a +7 . . . . add 7
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2. y -5 = 3x . . . . . subtract 5
x = (y -5)/3 . . . . divide by 3
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3. y +2 = 3/x . . . . add 2
x = 3/(y +2) . . . . use the above shortcut
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4. P +9 = 4l . . . . add 9
l = (P +9)/4 . . . divide by 4