2 years ago

Solve by the substitution method 5x+7y=10 -9x+y=50

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

6 0

Answer:

(- 5, 5 )

Step-by-step explanation:

5x + 7y = 10 → (1)

- 9x + y = 50 ( add 9x to both sides )

y = 9x + 50 → (2)

substitute y = 9x + 50 into (1)

5x + 7(9x + 50) = 10

5x + 63x + 350 = 10 ( subtract 350 from both sides )

68x = - 340 ( divide both sides by 68 )

x = - 5

substitute x = - 5 into (2)

y = 9(- 5) + 50 = - 45 + 50 = 5

solution is (- 5, 5 )

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