Show all your work use the substitution method to solve the system of equations. x + y = 20 30x + 25y = 550

solution is (x, y ) = (10, 10)

given

x + y = 20 → (1)

30x + 25y = 550 → (2)

from (1) y = 20 - x → (3)

substitute y = 20 - x in (2)

30x + 25(20 - x) = 550

30x + 500 - 25x = 550

5x + 500 = 550 ( subtract 500 from both sides )

5x = 50 ( divide both sides by 5 )

x = = 10

substitute x = 10 in (3) : y = 20 - 10 = 10

thus x = 10, y = 10 is the solution

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