Question

8x-3y=12 5x=2y+7 solve by enimitation method.
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Answer 1

Step-by-step explanation:

$8x - 3y = 12 \: \: \: \: \: \: \: \: \: \: (1)$

$5x - 12y = 7 \: \: \: \: \: \: \: \: \: \: (2)$

Multiplying equation 1 by 4 and 2 by 1 respectively.

$4(8x - 3y = 12)$

$24x - 12y = 48 \: \: \: \: \: \: \: \: \: (3)$

Subtracting equation 3 from 2

$24x - \not12y = 48 \\ 5x - \not12y = 7 \\ \underline{ - \: \: \: \: \: \: - \: \: \: \: \: \: -} \\ 19x = 41$

$\boxed {x = \frac{41}{19} }$

Put the value of x in equation 2

$5( \frac{41}{19} ) - 12y = 7$

$\frac{205}{19} - 12y = 7$

$- 12y = 7 - \frac{205}{19}$

$- 12y = \frac{133 - 205}{19}$

$\not{-} \not 12y = \frac{ \not - \not 72}{19}$

$y = \frac{6}{19}$