How can I simplify these equations to eliminate one of the variables?
$$0.5 = \dfrac{xe^{0.7(1-x)^2}75v}{60} + x(1-v)\\ 0.5 = \dfrac{(1-x)e^{0.7x^2}35v}{60} + (1-x)(1-v)$$
how can I simplify these pair of equations (2 variable equations) to eliminate one of the variables?
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$x$ is for product? – LuckyS Apr 04 '21 at 09:59
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the variable are $x_1$, $v$, $x$? – LuckyS Apr 04 '21 at 10:02
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0.5 = (xe^(0.7(1-x)^2)75v)/60 + x(1-v), 0.5 = ((1-x)e^(0.7(x)^2)35v)/60 + (1-x)(1-v) – Alchemist Apr 04 '21 at 10:02
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these are equations – Alchemist Apr 04 '21 at 10:03
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@LuckyS yeah x is for product – Alchemist Apr 04 '21 at 10:06
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The first equation looks like the best candidate to express $v$ as a function of $x$: expand the right-most thing in the RHS, move the part with no $v$ to the LHS, then factor $v$ out in the RHS, and you have it. Next step is to substitute $v$ in the second equation. – user3733558 Apr 04 '21 at 10:20
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@user3733558 yeah thnx – Alchemist Apr 04 '21 at 10:33