Question

Solve the following linear equation by elimination method


3x-5y=4 and 9x-2y=7​

Answer 1

ANSWER:

multiple the first equation by 3 and the second equation by 1

X=77/39

y= 5/13

hope this would help you

Answer 2

x = 9/13                       y = -5/13

Step-by-step explanation:

By using elimination method

$(3x-5y=4)\times2-(i)\\(9x-2y=7)\times5-(ii)$

by equating (i) and (ii)

$6x-10y=8-(i)\\45x-10y=35(ii)\\\Rightarrow-39x=-27\\x=\frac{27}{39}\\x=\frac{9}{13}$

put $x=\frac{9}{13}$ in equation (i)

$3x-5y=4\\3\times\frac{9}{13}-5y=4\\\frac{27}{13}-5y=4\\-5y=4-\frac{27}{13}\\-5y=\frac{52-27}{13}\\-5y=\frac{5}{13}\\y=\frac{-5}{13}$