How can (1/4)x-3=(1/2)x+8 be set up as a system of equations?
4y + 4x = −12
2y + 2x = 16

4y − x = −12
2y − x = 16

4y + x = −12
2y + x = 16

4y − 4x = −12
2y − 2x = 16

option (2) is correct.

The set up for the given equation as a system of equations is

4y − x = −12

2y − x = 16  

Step-by-step explanation:

   Given :

We have to set up the given equation as a system of equations.

The given equation has two sides right side and left side since, LHS = RHS , so we can put both sides equal to a single variable say y ,

Thus,   ..........(1)

.....(2)

We have obtained the system of equations.

Since, we have choose out of given options , so we will simplify the above two equations, as

Multiply equation (1) by 4 , we get,

(1) ⇒

Taking variable one side we get,  4y - x = -12

Multiply equation (2) by 2 , we get,

(2) ⇒

Taking variable one side we get,  2y - x = 16

Thus, option (2) is correct.

The set up for the given equation as a system of equations is

4y − x = −12

2y − x = 16  

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft