Question

How do you solve 4x+2y=10 x-y=13 using substitution

Answer 1

$\left \{ {{4x+2y=10} \atop {x-y=13}} \right.$

$x=13+y$

$4(13+y)+2y=10$

$52+4y+2y=10$

$6y=-42$

$y=-\frac{42}{6}=-7$

$y=-7$

$x=13-7=6$

$\left \{ {{x=6} \atop {y=-7}} \right.$