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2 years ago

X-2y=8 4x+y=5 Solve linear systems by Multiplying

Mathematics

1 answer:

Lisa [10]2 years ago

4 0

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8 ........ (1)

and 4x + y = 5 ........ (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(4x + y) = 5 × 2

⇒ 8x + 2y = 10 ........ (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8 + 10

⇒ x - 2y + 8x + 2y = 8 + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8

⇒ 2y =2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴ x = 2 and y = - 3

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Step-by-step explanation:

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