Question

Solve by the method of substitution $x+y=5,$ $x-y=1$

Answer 1

Substitution method

$x+y=5$

$x-y=1$

$x=5-y...\left(1\right)$

$x-y=1...\left(2\right)$

Substituting $...\left(1\right)in\left(2\right)$

$5-y-y=1$

$5-2y=1$

$2y=5-1$

$2y=4$

$y=2$

Substituting $y=2in\left(2\right)$

$x-y=1$

$x-2=1$

$x=3$

$\therefore x=3$ & $y=2$