Respuesta :

Answer:

Step-by-step explanation:

Plug in the coordinates for x and y into both equations and find the truth statement.

C is the correct answer. :)

lily9211

Answer:

C. (6, 4)

Step-by-step explanation:

  • 13x - 2y = 70
  • 2x - 2y = 4

To use the substitution method you would have to isolate and solve for a variable, preferably in the second equation because the numbers you are working with are smaller.

Solve for x by adding 2y to both sides (second equation).

  • 2x = 4 + 2y

Divide both sides of the equation by 2.

  • x = 2 + y

Substitute this value of x into the first equation to find the value of y.

  • 13(2 + y) - 2y = 70

Distribute 13 inside the parentheses.

  • 26 + 13y - 2y = 70

Combine like terms and subtract 26 from both sides of the equation.

  • 11y = 44

Divide both sides of the equation by 11.

  • y = 4

Substitute 4 for y into the second equation to find the value of x.

  • 2x - 2(4) = 4

Multiply 2 and 4 together.

  • 2x - 8 = 4

Add 8 to both sides of the equation.

  • 2x = 12

Divide both sides of the equation by 2.

  • x = 6

Your final answer is x = 6 and y = 4, or (6, 4) which corresponds to answer choice C.