Question

Which of these strategies would eliminate a variable in the system of equations?

Answer 1

8x+8y=2
-) 8x+5y=1
——————
3y=1
y=1/3
8x+8(1/3)=2
24x+8=6
24x=-2
x=-1/12
(-1/12,1/3)

Answer 2

Answer:

Step-by-step explanation:

8x + 8y = 2 -------(1)

8x + 5y = 1 -------(2)

subtract equation (2) from equation (1)

The 8x will be eliminated, leaving us with;

3y = 1

Divide bothside of the equation by 3

y = 1/3

substituting y = 1/3 in equation (1)

8x + 8y = 2

8x + 8(1/3) = 2

8x + 8/3 = 2

subtract 8/3 from both-side

8x + 8/3 -8/3 = 2 -8/3

8x = 2 - 8/3

8x = 6 - 8 / 3

8x = - 2/3

Divide both-side of the equation by 8

8x / 8 = -2/3 ÷ 8

x = -2/3 × 1/8

x = -1 / 12