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2x + 5y = 85 (1) ("The sum of twice a first number and five times a second number is 85.")
5x - y = 37 (2) ("If the second number is subtracted from five times the first number the result is 37.")
Multiply the second equation by 5. Keep equation (1) as is. You will get
2x + 5y = 85 (1')
25x - 5y = 185 (2')
Add equations (1' and (2').
27x = 85 + 185 = 270 ====> x = 270/27 = 10.
Then from eq(2) y = 5x - 37 = 5*10 - 37 = 50 - 37 = 13.
Answer. x= 10, y= 13.
