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Question

b/c = a;c 

dfg = h;f 

2x + 3y = 12;y 

abc = 1/2;b 

8(x - a)= 2(2a - x);x 

12(m + 3x) = 18(x - 3m);m 

v= 1/3pir²h;h

v= 1/3pir²(h - 1);h 

y(a - b) = c(y + a);y 

x = 3(y - b)/m ; y 

f = -Gm/r²;G

Answer 1

I am assuming that you are seeking to rewrite each expression in terms of the variable you note after the semicolon (;), If so...see the final expression in BOLD. Use cross multiplication, the distributive property of multiplication and combining like terms to isolate the desired variable.

b/c = a;c c = b/a

dfg = h;f f = h/dg

2x + 3y = 12;y  3y = (12 - 2x); y = 4 - 2x/3

abc = 1/2;b  b = 1 / (2ac)

8(x - a)= 2(2a - x);x 

Use distributive property of multiplication, combine like terms & isolate for x

8x - 8a = 4a - 2x; x = 2a

12(m + 3x) = 18(x - 3m);m 

Use distributive property of multiplication, combine like terms & isolate for m

12m + 36x = 18x - 54m

m = -18x/66 = -9x/33

v= 1/3pir²h;h h = (3v)/(pi)(r²)

v= 1/3pir²(h - 1);h  h = [(3v)/(pi)(r2)] + 1

y(a - b) = c(y + a);y  y = ac/(a-b-c)

x = 3(y - b)/m ; y  xm = 3(y - b); xm = 3y - 3b; 3y = xm + 3b; y = (xm + 3b)/3

f = -Gm/r²;G G = -(fr²/m)

Hope this helps! Good luck!