Question

Y=5x+19
-4x-2y=18
How do I solve this system?

Answer 1

$y=5x+19\\ -4x-2y=18$

Lets solve it by substitution

$-4x-2(5x+19)=18\\-4x -10x- 38 = 18\\-14x -38=18\\-14x = 56\\\\x = -4$

Now we plug x = -4 and solve for y

$y=5x+19\\y = 5(-4) + 19\\y=-20 + 19\\\\y = -1$

So the solution is (-4,-1)