Question

0.2x+0.3y=1.3
0.4x+0.5y=2.3 linear equation by substitution method
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Answer 1

Answer:

convert the 45,000 minutes into days

Answer 2

☘️ Solution:

$\sf \: First \: multiply \: both \: the \: equations \\ \sf with \: 10. \sf \: So \: that, \: we \: can \: solve \: \\ \sf it \: easily \: as \: decimal \: get's \: removed \\ \sf \: by \: this. \\ \\ \tt \: 0.2x + 0.3y = 1.3 \: \times 10 \\ \tt2x + 3y = 13 \: \: - - (i) \\ \\ \tt 0.4x + 0.5y = 2.3 \: \times10 \\ \tt 4x + 5y = 23 \: - - (ii)$

$\tt \: 2x + 3y = 13 \\ \tt → \: 2x = 13 - 3y \\ → \tt \: x = \frac{13 - 3y}{2} \: - - (iii)$

$\sf Substituting\: value \:of \:x \:in \:eq. (ii):$

$\tt 4x + 5y = 23 \\ \tt→4( \frac{13 - 3y}{2}) + 5y = 23 \\→ \tt26 - 6y + 5y = 23 \\ → \tt \: - 6y + 5y = 23 - 26 \\ → \tt - y = - 3 \\ → \tt y = 3$

$\sf Substituting\: value\: of\: y\: in\: equation\: (iii):$

$\tt \: →x = \frac{13 - 3y}{2} \\ → \tt \: x = \frac{13 - 3(3)}{2} \\ → \tt \: x = \frac{13 - 9}{2} \\ → \tt \: x = \frac{4}{2} \\ → \tt \: x = 2$

So, the value of x = 2 and y = 3

☘️ Answer:

• x = 2
• y = 3