Question

X+6/y=6
3x-8/y=5
write it in substitution method

Answer 1

Step-by-step explanation:

X + 6/y = 6 Eq.1

X= 6- 6/y Eq.2

3x - 8/y = 5 Eq.3

-8/y = 5 - 3x

Multiply both sides by y

-8 = (5-3x)(y)

Divide both sides by (5-3x)

y = -8/(5-3x) Eq.4

Substitute he values of y in Eq.4 to the y in Eq.2

X = 6 - 6/y

X = 6 - {6 / [-8 / (5 - 3X) ] }

X = 6 - [ (6) (5-3X)] /-8

X = 6 - (30 - 18X) /-8

X = [ (6 × 8) - (30 - 18X) ] /-8

Multiply both sides by -8

-8X = 48 - 30 + 18X

Combine Like terms

-8X - 18X = 48 - 30

-26X = 18

Divide both sides by -26

X = 18/-26

X = -9/13 Eq.5

Substitute Eq.5 to Eq.4

y = -8 /(5 - 3X)

y = -8 / [5 - 3(-19/13) ]

y = -8 / (5 + 27/13)

y = -8 / (92/13)

y = -26/23

X = -19/23 & y = -26/23 ANSWER