Question

Solve the linear equations 3x - 5y= 4 and 9x - 2y=7 by the elimination method

Answer 1

I hope this helped u.thank u

Answer 2

Elimination method:

Step-by-step explanation:

$\ Given \ value:\\\\3x - 5y= 4.....(i)\\\\9x - 2y=7.....(ii)\\\\\\ Solution:\\\\\ equation \ (ii) \ multiply \ by 5 \ and \ equation \ (i) \ multiply \ 2 \ then \ subtract \ the value\\\\9x - 2y=7 \times 5 \\3x - 5y= 4 \times 2 \\\\\ 45x -10y= 35\\\ 6x -10y=8\\\ Subtract \\\\39x= 27\\\\x=\frac{27}{39}\\\\x=\frac{9}{13}\\\\\ put \ the \ value \ x \ in \ equation (i)\\\\ 3(\frac{9}{13}) - 5y= 4\\\\\frac{27}{13} -5y=4\\\\\frac{27-65y}{13}=4\\\\27-65y=52\\\\65y=27-52\\\\65y=-25$

$y= - \frac{25}{65}\\\\y= - \frac{5}{13}$

$x = \frac{9}{13} \ \ \ \ \ and \ \ \ \ y =- \frac{5}{13}$

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