Which of the following systems is equivalent to the given system?
2/3 x - y = 2 x + 1/2y = -3
a) 2x - 3y = 6 and 2x + y = 6
b)6x - 3y = 6 and 2x + y = 10
c) 2x - 3y = 6 and 2x + y = -6

The correct answer is c.

Step-by-step explanation:

This is because it is the first equation being multiplied by 3 and the second being multiplied by 2.

None of the other examples are multiples of the originals.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right