Pair of Linear Equations in Two Variables

$7$ audio cassettes and $3$ videocassettes cost $₹1110$, while $5$ audio cassettes and $4$ videocassettes cost $₹1350$. Find the cost of audio cassettes and a video cassette.

Let’s assume the cost of an audio cassette and that of a video cassette be ₹a and ₹b, respectively. Then forming equations according to the question, we have $7a+3b=1110$…(a) $5a+4b=1350$… (b) On...

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Form the pair of linear equations for the following problems and find their solution by substitution method.(i) The difference between two numbers is 26 and one number is three times the other. Find them.(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.

Arrangement (i): Leave the two numbers alone x and y individually, to such an extent that y > x. As indicated by the inquiry, \[y\text{ }=\text{ }3x\text{ }\ldots \text{ }\ldots \text{ }\ldots...

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