Solving System of Equations with Variables

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SUMMARY

The discussion focuses on solving systems of equations involving variables and exponents. The first set of equations includes linear combinations of variables x and y, while the second set involves exponential forms with roots. Participants suggest using substitution methods, such as replacing variables with simpler forms (e.g., 3x with u) and applying exponent properties to simplify the equations. The conversation emphasizes the importance of breaking down complex expressions to facilitate solving the equations.

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  • Study substitution methods for solving systems of equations
  • Learn about properties of exponents and logarithms
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1st: 32x-2y+2*3x-y-3=0
3x+31-y=4


2nd: 3y*[tex]\sqrt[x]{64}[/tex]=36
5y*[tex]\sqrt[x]{512}[/tex]=200

3rd: 9*5x+7*2x+y=457
6*5x-14*2x+2=-890

At first i treid to replace 3x with u , 3x=u and 3y=v but I don't know what to do then.

At 2nd, [tex]\sqrt[x]{64}[/tex] I replace with 26/x but then this be more complicate,and I don't know another way,please help me!
 
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Cant you solve the second equation for [tex]3^x[/tex] and then plug it back into the first one after you break it down using your exponent properties?

that's just suggestion at first glance.
CC
 

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