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