Answers

1. Answer:

   A)

   Step-by-step explanation:

   To find the answer we must solve each of the systems separately. Starting with the first one:

   x + y = 2

   2x – y = 10

   We must find what x or y is equal to and then replace it in the second equation. I’ll go with y as it seems easier:

   x + y = 2

   y = 2 – x

   Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

   2x – (2 – x) = 10

   2x – 2 + x = 10

   3x = 12

   x = 12/3

   x = 4

   Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I’ll go with the one that seems easier.

   4 + y = 2

   y = 2 – 4

   y = – 2

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