Question

X - 3y = 1, 2x + 4y = 2 solve by substitution method

Answer 1

$x-3y=1$
$x-1=3y$
$\frac{x-1}{3} = y$ (i)

$2x+4y=2$
$4y=2-2x$
$y= \frac{2-2x}{4}$

$y= \frac{2(1-x)}{4}$

$y= \frac{1-x}{2}$ (ii)

Now substituting the value of 'y'

$\frac{x-1}{3} = \frac{1-x}{2}$

$2×(x-1) = 3×(1-x)$

$2x-2=3-3x$

$2x-3x=3+2$

$x= -5$