Question

8x+4y=7
6x-8y=41
using ELIMINATION METHOD ​

Answer 1

(
`(5)/(2)` , -
`(13)/(4)` )

Explanation:

8x + 4y = 7 → (1)

6x - 8y = 41 → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

16x + 8y = 14 → (3)

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

22x + 0 = 55

22x = 55 ( divide both sides by 22 )

x =
`(55)/(22)` =
`(5)/(2)`

substitute this value into either of the 2 equations and solve for y

substituting into (1)

8(
`(5)/(2)` ) + 4y = 7

20 + 4y = 7 ( subtract 20 from both sides )

4y = - 13 ( divide both sides by 4 )

y = -
`(13)/(4)`

solution is (
`(5)/(2)` , -
`(13)/(4)` )