Question

1/2a+2/3b=50 when b=30?

Answer 1

The given equation is (1/2)a + (2/3) b = 50

and b = 30

Substituting the given value of b is above the equation we get

$\large\displaystyle\text{ \begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50 } \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30 } \end{gathered} }$

$\large\displaystyle\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$

Therefore, a = 60 and b = 30 is a solution of the given equation.

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