Question

`3x - 4y = 6 and 5x + 8y = -1`

Answer 1

x = 1 , y = -
`(3)/(4)`

Explanation:

3x - 4y = 6 → (1)

5x + 8y = - 1 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

6x - 8y = 12 → (3)

Add (2) and (3) term by term to eliminate y

11x = 11 ( divide both sides by 11 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + 8y = - 1

5 + 8y = - 1 ( subtract 5 from both sides )

8y = - 6 ( divide both sides by 8 )

y = -
`(6)/(8)` = -
`(3)/(4)`