Question

Find the value of x if y = 1/4x and 5x-8y=33.​

Answer 1

11

Explanation:

Given that ,

⇒ y = 1/4x and

⇒ 5x - 8y = 33

We can write 1st equation as ,

⇒ 4y = x

Put x = 4y in 2nd Equation ,

⇒ 5*4y - 8y = 33

⇒ 20y - 8y = 33

⇒ 12y = 33

⇒ y = 33/12

Put this in 1st ,

⇒ 33/12 = 1/4 x

⇒ x = 33/12 × 4

⇒ x = 33/3

⇒ x = 11 .

Answer 2

x = 11

Explanation:

Given the 2 equations

y =
`(1)/(4)` x → (1)

5x - 8y = 33 → (2)

Substitute y =
`(1)/(4)` x into (2)

5x - 8(
`(1)/(4)`x ) = 33

5x - 2x = 33

3x = 33 ( divide both sides by 3 )

x = 11