Question

Y = 4x + 5
2x + 8y = 16

Answer 1

(-
`(12)/(17)` ,
`(37)/(17)` )

Explanation:

y = 4x + 5 → (1)

2x + 8y = 16 → (2)

substitute y = 4x + 5 into (2)

2x + 8(4x + 5) = 16 ← distribute parenthesis

2x + 32x + 40 = 16

34x + 40 = 16 ( subtract 40 from both sides )

34x = - 24 ( divide both sides by 34 )

x = -
`(24)/(34)` = -
`(12)/(17)`

substitute this value into (1)

y = 4(-
`(12)/(17)` ) + 5 = -
`(48)/(17)` +
`(85)/(17)` =
`(37)/(17)`

solution is ( -
`(12)/(17)` ,
`(37)/(17)` )