Question

Solve the system of equations. y = -5x - 8 y = 4x + 1 a. ( 1, -3) c. ( 3, 1) b. ( -1, -3) d. No solution

Answer 1

Answer:

(-1,-3)

Step-by-step explanation:

The given system of equations is;

$y=-5x-8...(1)$

and

$y=4x+1...(2)$

Let us equate the two equations to get;

$4x+1=-5x-8$

Group similar terms;

$4x+5x=-8-1$

Simplify;

$9x=-9$

Divide both sides by 9.

$x=-1$

Put x=-1, into any of the equations, say (2);

$y=4(-1)+1$

$y=-4+1$

$y=-3$

The solution is;

(-1,-3)