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

(-1,-3)

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)