Question

Draw the graph of the following equation 2x + 3y = 13 and check whether a) x = 2 and y
= 5 and b) x = - 1 and y = 3 are its solutions
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Answer 1

$\small\color{red}{Question = 2x + 3y = 13} \\ \small\color{red}{a) \: \: x = 2 \: ,\: \: y = 5} \\ \color{red}{b) \: x = - 1 \: , \: y = 3}\\ \\ \small\color{blue}{solution,} \\ \\ \color{blue}{2x + 3y = 13} \\ \\ \colorbox{orange}{put \: the \: value \: of \: (a) \: x \: and \: y} \\ \\ \color{blue}{2(2) + 3(5) = 13} \\ \\ \color{blue}{4 + 15 = 13} \\ \\ \color{blue}{19 = 13} \\ \\ \color{blue}{19 - 13 = 0} \\ \\ \colorbox{green}{6 = 0 \: or \: 0 = 6} \\ \\ \\ \color{blue}{2x + 3y = 13} \\ \\ \colorbox{orange}{put \: the \: value \: of \: (b) \: x \: and \: y} \\ \\ \color{blue}{2( - 1) + 3(3) = 13} \\ \\ \color{blue} - 2 + 9 = 13 \\ \\ \color{blue}7 = 13 \\ \\ \color{blue}0 = 13 - 7 \\ \\ \colorbox{green}{0 = 6} \color{green} \: \: \: \: \: answer$