Question

Which System has the same solution as the system of equation shown

Answer 1

Answer: B. 8x+3y=5

-8x - 4y= -6

Step-by-step explanation:

The given system of equations is expressed as

8x + 3y =5 - - - - - - - - -1

4x + 2y =3 - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 4 and equation 2 by 8. It becomes

32x + 12y =20

32x + 16y = 24

Subtracting, it becomes

- 4y = - 4

y = - 4/ - 4

y = 1

Substituting y = 1 into equation 1. It becomes

8x + 3 × 1 =5

8x + 3 = 5 - 3 = 2

x = 2/8 = 1/4

Substituting x = 1/4 and y = 1 into the given options, it becomes

A. 8 × 1/4 + 3 × 1=5

2 + 3 = 5

- 8 × 1/4 +4 × 1 = 2

B. 8x+3y=5

-8x - 4y= -6

- 8 × 1/4 - 4 × 1 = -6

Therefore, the system of of equations that has the same solution as the given equation is

B. 8x+3y=5

-8x - 4y= -6