Asked by Helen
Solve the literal equation for a
y=x(ab/a-b)
y=x(ab/a-b)
Answers
Answered by
Swaastikaa
Hi Helen, this is easy!
Solving the literal equation for 'a' means expressing the equation in terms of a.
Let us see the solutions step by step:
a) Multiplying the denominator a-b with y gives : y(a-b) = xab
b)Expanding the parentheses y(a-b) gives ya-yb = xab
c)Since ya and xab have 'a', the equation is now rearranged as:
ya-xab = yb
d)Taking out the 'a' from ya-xab
ya-xab = a(y-xb)
e) a(y-xb) = yb
a = yb/(y-xb)---> final answer
Solving the literal equation for 'a' means expressing the equation in terms of a.
Let us see the solutions step by step:
a) Multiplying the denominator a-b with y gives : y(a-b) = xab
b)Expanding the parentheses y(a-b) gives ya-yb = xab
c)Since ya and xab have 'a', the equation is now rearranged as:
ya-xab = yb
d)Taking out the 'a' from ya-xab
ya-xab = a(y-xb)
e) a(y-xb) = yb
a = yb/(y-xb)---> final answer
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