Question

Solve the following system of equations using the elimination method.

x + 7y = –14

4x + 14y = –28
Question 18 options:

A)

(5,–6)

B)

(1,–4)

C)

(3,1)

D)

(0,–2)

Answer 1

D) (0,–2)

Explanation:

x + 7y = –14

4x + 14y = –28

Multiply the first equation by -2

-2x -14y = 28

Add this to the second equation

-2x -14y = 28

4x + 14y = –28

----------------------------

2x = 0

x=0

Now solve for y

x+7y = -14

0+ 7y = -14

Divide each side by 7

7y/7 = -14/7

y =-2

Answer 2

D) (0,–2)

Explanation:

x + 7y = –14

4x + 14y = –28

Multiply the first equation by -2

-2x -14y = 28

Add this to the second equation

-2x -14y = 28

4x + 14y = –28

----------------------------

2x = 0

x=0

Now solve for y

x+7y = -14

0+ 7y = -14

Divide each side by 7

7y/7 = -14/7

y =-2