Question

Solving linear equations

Answer 1

(x, y ) = (
`(1)/(2)`,
`(5)/(2)`)

Explanation:

given the 2 equations

4x + 2y = 7 → (1)

y = 5x → (2)

Substitute y = 5x into equation (1)

4x + 2(5x) = 7

4x + 10x = 7

14x = 7 ( divide both sides by 14 )

x =
`(7)/(14)` =
`(1)/(2)`

substitute this value into equation (2)

y = 5 ×
`(1)/(2)` =
`(5)/(2)`

Answer 2

Required Solution :

Here we have been given with two equations,

• 4x + 2y = 7
• y = 5x

And we have a temporary value of y that is 5x.

So let us evaluate this value of y in first equation to get the value of x.

⇒ 4x + 2 (5x) = 7

⇒ 4x + 2 × 5x = 7

⇒ 4x + 10x = 7

⇒ 14x = 7

⇒ x = 7 / 14

⇒ x = 1 / 2

Therefore, value of x is 1/2.

Now, let us substitute the value of x which we got as 1/2 in the equation : y = 5x

So as to get the value of y..!!

⇒ y = 5 (1/2)

⇒ y = 5 × 1 / 2

⇒ y = 5 / 2

Therefore, value of x is 5/2.