Question

solve this equation 0.4x÷0.5y=2.3​

Answer 1

Step-by-step explanation:

think correct answer

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Answer 2

$\huge{ \textbf{ \purple{Correct Question} }}:$

Solve the following pair of linear equation --

0.2x + 0.3y = 1.3

0.4x + 0.5y = 2.3

$\huge{ \textbf{ \blue{SOLUTION}}} :$

Here,

$\rm{}0.2x + 0.3y = 1.3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ....(1) \\ \rm{} 0.4x + 0.5y = 2.3\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ....(2)$

$\bf{}Multiplying \: \: { Eq}^{n} \: \: (1) \: \: by \: \: \pink{2},$

$\rm 0.4x + 0.6y = 2.6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(3)$

$\small \bf{}Subtracting \: \: {Eq}^{n} \: \: ( \pink2) \: \: from \: \: (\pink3),$

$\small \rm{} \cancel{0.4x} + 0.6y - \cancel{0.4x} - 0.5y = 2.6 - 2.3 \\ \rm\to \: 0.1y = 0.3 \\ \rm \to y = \cancel{\frac{0.3}{0.1} } \: \: = 3$

$\textbf{Putting value of y in} \: \bf \: { {Eq}^{n} \: (1)},$

$\sf{}0.2x + 0.3(3) = 1.3 \\ \to \sf0.2x + 0.9 = 1.3 \\ \to \sf0.2x = 1.3 - 0.9 \\ \to \sf \: 0.2x = 0.4 \\ \to \sf \: \: x = \cancel\frac{0.4}{0.2} \: \: = 2$

Hence,

$\boxed{\boxed{ \huge{ \bf{x = \red2}}}} \\ \boxed{\boxed{ \huge{ \bf{y = \red3}}}}$

$\huge{\boxed{\tt Or, \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

$\rm\frac{0.4x}{0.5y}=2.3\: \: \: \: \:\:\: \: \:\: \\ \\ \rm \frac{0 \cancel.4x}{0\cancel.5y} = 2.3 \\ \\ \rm \frac{4x}{5y} = 2.3 \\ \\ \rm \frac{x}{y} = \frac{2.3}{ \frac{4}{5} } \\ \\ \rm\frac{x}{y} = \frac{2.3 \times 5}{4} \\ \\ \rm \frac{x}{y} = \frac{11.5}{4} \\ \\ \rm\frac{x}{y} = \frac{115}{40} \\ \\ \rm \frac{x}{y} = \frac{23}{8} \\ \\ \sf \therefore \: x = 23 \: \: \: \: \: \: \& \: \: \: \: y = 8$