Solve the following systems of equations:

Question:

Solve the following systems of equations:

$0.5 x+0.7 y=0.74$

$0.3 x+0.5 y=0.5$

Solution:

The given equations are:

$0.5 x+0.7 y=0.74 \ldots(i)$

$0.3 x+0.5=0.5 \ldots(i i)$

Multiply equation $(i)$ by $0.5$ and $(i i)$ by 2 and subtract equation (ii) from (i) we get

Put the value of $x$ in equation $(i)$, we get

$0.5 \times 0.5+0.7 y=0.74$

$\Rightarrow 0.7 y=0.49$

$\Rightarrow y=0.7$

Hence the value of $x=0.5$ and $y=0.7$

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