Question

Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
-3y = x-5
x+ 5y = 7
O A. (-1,2)
O B. (5,0)
O C. (2.1)
O D. (-4,3)

Answer 1

Answer:

C. (2, 1)

Step-by-step explanation:

-3y = x-5

x+ 5y = 7

Subtract x from both sides in the first equation. Write the second equation below it.

-x - 3y = -5

x + 5y = 7

Add the two equations above.

2y = 2

Divide both sides by 2.

y = 1

Substitute y with 1 in the second original equation and solve for x.

x + 5(1) = 7

x + 5 = 7

Subtract 5 from both sides.

x = 2

Answer: C. (2, 1)

Answer 2

Answer:

○ C. (2, 1)

Step-by-step explanation:

{-3y = x - 5 [Move -x to the left of the equivalence symbol]

{x + 5y = 7

{-x - 3y = -5

{x + 5y = 7

____________

2y = 2

__ _

2 2

y = 1 [Plug this back into both equations to get the x-coordinate of 2]; 2 = x

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