Question

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

`y = - (1 )/(4) x \\`

`x + 2y = 4 \\`

`x + 2( - (1)/(4) x) = 4 \\`

`x + ( - (2)/(4) x) = 4 \\`

`x - (1)/(2) x = 4 \\`

`(2x - 1x)/(2) = 4 \\`

`2x - x = 8`

`x = 8`

`x + 2y = 4 \\`

`8 + 2y = 4`

`2y = 4 - 8`

`2y = - 4`

`y = - 2`

Answer 2

`y=-\frac 14 x~~....(i)\\\\x+2y = 4~~...(ii)\\\\\text{Substitute}~~ y= -\frac 14 x ~~ \text{in equation (ii):}\\ \\ \\x+2\left(-\frac 14 x \right) = 4\\\\\implies 4x -2x = 16~~~~;\left[\text{Multiply both sides by 4} \right]\\\\\implies 2x = 16\\\\\implies x =\frac{16}2 \\ \\\implies x =8\\\\\text{Substitute x = 8 in equation (i);}\\\\y= -\frac 14 \cdot 8 = -2\\\\\text{Hence,}~ (x,y) = (8,-2)`