Question

Solve the system of equations by elimination/addition. Give your solution as an ordered pair.

-3x - 4y = 13
-x+y = -5

Answer 1

Answer: (1,-4)

Explanation:

-3x-4y=13

-x+y=-5

-3x-4y=13 (1)

y=-5+x (2)

Substitute equation (2) into equation (1):

-3x-4(-5+x)=13

-3x+20-4x=13

-7x+20=13

-7+20-20=13-20

-7x=-7

Divide both parts of the equation by -1:

x=1

Hence,

y=-5+1

y=-4

Thus (1,-4)