-6x – 4y = -14
4x – 12y = -20

a. (1, 2)
b. (-2, 1)
c. (-2,4)
d. (-2,-4)

A.(1,2)

Step-by-step explanation:

Step: Substitute

−2 /3 y +  7 /3

4x−12y=−20:

4x−12y=−20

4( −2 /3 y +  7 /3 )−12y=−20

-44/3y +  28 /3 =−20(Simplify both sides of the equation)

−44 /3 y +  28 /3  +  −28 /3  =−20+  −28 /3

(Add (-28)/3 to both sides)

−44 /3 y=  −88 /3

−44 /3 y

−44 /3 =  −88 /3  −44 /3

(Divide both sides by (-44)/3)

y=2

Step: Substitute2foryinx=

−2 /3 y+ 7 /3 :

x= −2 /3 y+ 7 /3

x= −2 /3 (2)+ 7 /3

x=1(Simplify both sides of the equation)

x=1 and y=2