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3 years ago

8x + 2 y = 4 16x - y = 18

Mathematics

1 answer:

trapecia [35]3 years ago

8 0

Solution to the system of linear equations is (5/3, -14/3)

Step-by-step explanation:

Step 1: The system of linear equations are

8x + 2y = 4 ------ (1)

16x - y = 18 ------ (2)

Step 2: Multiply eq(2) by 2 to make coefficients of y equal

8x + 2y = 4

16x - 2y = 36

Step 3: Add the two equations

⇒ 24x = 40

⇒ x = 40/24 = 5/3

Step 4: Find the value of y

⇒ 8 × 5/3 + 2y = 4

⇒ 40/3 + 2y = 4

⇒ 2y = 4 - 40/3 = -28/3

⇒ y = -14/3

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