Question

X/2-y/9=6,X/7+y/3=5 by substitution ​

Answer 1

Answer:

Answer:

x = 14 , \: y = 9

Step-by-step explanation:

Given\:pair\:of\: equations:\\\frac{x}{7}+\frac{y}{3}=5

\implies \frac{y}{3}=5-\frac{x}{7}\:---(1)

and\:\frac{x}{2}-\frac{y}{9}=6

\implies \frac{x}{2}-\frac{y}{3}\times \frac{1}{3}=6\:---(2)

substitute \:(1)\:in \: equation\:(2),\: we\:get

\implies \frac{x}{2}-(5-\frac{x}{7})\times \frac{1}{3}=6\:---(2)

\implies \frac{x}{2}-\frac{5}{3}+\frac{x}{21}=6

\implies \frac{x}{2}+\frac{x}{21}=6+\frac{5}{3}

\implies \frac{21x+2x}{42}=\frac{18+5}{3}

\implies \frac{23x}{42}=\frac{21}{3}

\implies x = \frac{23}{3}\times \frac{42}{23}

\implies x = 14\:--(3)

put \: x=14 \: in \: equation \:(1),\\we\:get

\frac{y}{3}=5-\frac{14}{7}

\implies \frac{y}{3}=5-2

\implies y = 3\times 3 = 9

Therefore,

x = 14 , \: y = 9

Ask more question okay

Best of luck