Question

Solve the following pair of linear equations:
y -4x= 1
6x- 5y= 9​

Answer 1

Answer:

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Answer 2

Given:

A pair of equations:

y - 4 x = 1

6 x - 5 y = 9​

To Find:

Solve the given pair of linear equations.

Solution:

- Solving 1st equation, we get:

y - 4 x = 1

⇒ y = 1 + 4 x

- Putting this value in 2nd equation, we get:

6 x - 5 y = 9​

⇒ 6 x - 5 (1 + 4 x) = 9​

⇒ 6 x - 5 - 20 x = 9​

⇒ 6 x - 20 x = 9​ + 5

⇒ - 14 x = 14

⇒ x = -1

- Putting value of x in 1st equation, we get:

y - 4 x = 1

⇒ y - 4 (-1) = 1

⇒ y + 4 = 1

⇒ y = 1 - 4

⇒ y = -3

- So, the value of x = -1 and y = -3.