x = 1, y = 9. Here's one way to solve:
Since y = x + 8, from the second equation, substitute (x + 8) for y in the first equation: x + (x+8) = 10 --> 2x + 8 = 10, and 2x = 2, so x = 1.
Now y = x + 8, so substitute x=1 and get y = 1 + 8 = 9. Check your answer in the first equation: [x+y=10]: 1+9=10, which checks out.
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This is a system of equations:-x + 5y = 10-5x + 2y = 27Multiply the first equation by 5.-5x + 25y = 50Subtract the 2 equations:23y = 23Solve:y = 1-x + 5(1) = 10-x = 5x = -5Thus, the ordered pair is (-5, 1).
10-4=6
(10, 2)
6x + 10 + 4x = 5010x + 10 = 5010x = 40x = 4
x = 10