Hello Internet...
I'm trying to solve an equilibrium problem, so far I have tried to employ algebra to calculate the two unknowns. The two equations I know to be true are in red (n.b. there is a typo in the graphic: xy=1.5, not 15 as written).
Hydrogen and iodine react together and establish equilibrium.
The value of K_{p} is 64.
Equal amounts of hydrogen and iodine were mixed together. The eqm mixture was found to contain 1.5 moles of iodine.
etc...

H2 
+ I2 
[tex]\rightleftharpoons\, [/tex] 2HI 
initial

x 
x 
0 
change 
y

y

+2y

eqm. 
x  y 
x  y 
+2y

. . .x  y = 1.5
. . . . .[tex]\textrm{K}_p\, =\, \dfrac{\left[\textrm{HI}\right]^2}{\left[\textrm{I}_2\right]\, \left[\textrm{H}_2\right]}[/tex]
. . . . .[tex]\color{red}{64\, =\, \dfrac{(2y)^2}{(x\, \, y)(x\, \, y)}}[/tex]
Can this be solved with some crazy simultaneous equations?
It's been a long day, maybe I'm overthinking the problem or have completely lost the plot. Either way, help me Maths Wizards
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