Question

Solve the following system of equations:

−2x + y = 1
−4x + y = −1


(3, 1)
(−1, 3)
(−1, −3)
(1, 3)

Answer 1

Hi Anita

-2x+y=1

-4x+y=-1

Solve -2x+y=1 for y

Add 2x to both sides

-2x+y+2x=1+2x

y=2x+1

Substitute 2x+1 for y in -4x+y=-1

-4x+y=-1

-4x+2x+1=-1

Simplify both sides

-2x+1=-1

Add -1 to both sides

-2x+1-1=-1-1

-2x=-2

Divide both sides by -2

-2x/-2=-2/-2

x=1

Substitute 1 for x in y=2x+1

y=2x+1

y=(2)(1)+1

y= 2+1

y=3

Answer : x=1 and y=3

(1,3)

I hope that's help !

Answer 2

The correct answer is the last pair (1,3).