Question

$6 \div x + 4 \div y = 3 \\ 9 \div x - 1 \div y = 2 \times 3 \div 4$
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Answer 1

The final value of x and y "7" and "28/15".

Step-by-step explanation:

$\ Given \ value:\\\\6\div x + 4 \div y =3 \\\\9\div x -1 \div y = 2 \times 3 \div 4 \\\\ \ find:\\\\ \ Solution:\\\\\frac{6}{x} + \frac{4}{y} = 3....(i)\\\\\frac{9}{x} - \frac{1}{y} =\frac{2 \times 3}{4}\\\\\frac{9}{x} - \frac{1}{y} =\frac{3}{4} ......(ii)\\\\\ In \ equation \ (ii) \ multiply \ 4 \ then \ add \ from \ equation (i)\\\\\frac{36}{x} - \frac{4}{y} =\frac{3\times 4}{4} ......(ii)\\\\\frac{36}{x} - \frac{4}{y} =3 ......(ii)\\\\\frac{6}{x} + \frac{4}{y} = 3....(i)\\\\\ add$

$\frac{36}{x} +\frac{6}{x} = 3+3 \\\\\frac{36+6 }{x} = 6\\\\\frac{42 }{x} = 6\\\\6x= 42\\\\x= 7\\\\put \ the \ value \ of \ x \ in \ equation \ (i)\\\\\ equation: \\ \frac{6}{x}+\frac{4}{y} = 3\\\\\frac{6}{7}+\frac{4}{y} = 3\\\\\frac{4}{y} = 3- \frac{6}{7}\\\\\frac{4}{y} = \frac{21-6}{7}\\\\\frac{4}{y} = \frac{15}{7}\\\\28=15y\\\\y= \frac{28}{15}$

Learn more:

• Simplify: https://brainly.in/question/16479139#