Respuesta :

Since y = x - 2, replace the y in 8x + 13y = 2 with x - 2:

8x + 13(x - 2) = 2

Simplify the equation by multiplying 13 by (x - 2):

8x + 13x - 26 = 2

Add 26 on each side:

8x + 13x = 28

Add like terms:

21x = 28

Divide by 21 on each side:

x = 28/21

Simplify the fraction:

x = 4/3

Now that we have solved for x we can now use it to plug into one of the equations to solve for y. Plug in 4/3 for x in y = x - 2:

y = (4/3) - 2

Subtract:

y = -2/3

Let's check the work to make sure it is right:

8(4/3) + 13(-2/3) = 2
32/3 + -26/3 = 2
6/3 = 2
2 = 2

As you can see the system of equations has been solved correctly.

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