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: x-y=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

xx0 change - y

- y

+2 y

eqm. x-yx-y+2 y

. . .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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