Answer to Question #241642 in Algebra for Sachi

Question #241642

Using the substitution u = 2x, solve the equation 23x = 2(2x+1) + 3(2x)


1
Expert's answer
2021-09-26T18:02:33-0400

Given equation is: 23x = 2(2x+1) + 3(2x)

Substituting 2x=u in the equation, get:

23(u2)=2(u+1)+3(u)23u2=5u+223u25u=213u2=2u=41323(\frac{u}{2})=2(u+1)+3(u)\\ \Rightarrow \frac{23u}{2}=5u+2\\ \Rightarrow \frac{23u}{2}-5u=2\\ \Rightarrow \frac{13u}{2}=2\\ \Rightarrow u=\frac{4}{13}


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