Solving Simulataneous equations

  • Thread starter smss_engineer
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In summary, simultaneous equations are a set of equations with multiple unknown variables that can be solved together. The most common method for solving them is the substitution method, but they can also have multiple solutions depending on the equations. Solving simultaneous equations is useful in various fields and some tips for solving them include identifying variables, choosing the best method, and practicing with different types of equations.
  • #1
smss_engineer
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Homework Statement



Hi Friends.

Please help me solving two simultaneous equations...
Equations are attached as Jpeg files...

How to solve these two equations(D.17 & D.18) ?? please help me

By SMSS

Homework Equations





The Attempt at a Solution

 

Attachments

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  • #2
Solve the first one for [itex] \eta_g [/itex], substitute in the second equation. You get a quadratic equation.
 
  • #3



Hello SMSS,

Solving simultaneous equations involves finding the values of the variables that satisfy both equations at the same time. There are several methods for solving simultaneous equations, such as substitution, elimination, and graphing. I would suggest starting by identifying the variables in each equation and then using one of these methods to eliminate one of the variables. From there, you can solve for the remaining variable and then substitute that value into the other equation to find the value of the other variable. I cannot provide a specific solution without seeing the equations, but I hope this helps guide you in the right direction. Good luck!
 

FAQ: Solving Simulataneous equations

What are simultaneous equations?

Simultaneous equations are a set of equations that have two or more unknown variables and can be solved together to find the values of those variables.

What is the method for solving simultaneous equations?

The most common method for solving simultaneous equations is the substitution method, where one equation is solved for a variable and then substituted into the other equation to find the value of the remaining variable.

Can simultaneous equations have multiple solutions?

Yes, simultaneous equations can have multiple solutions, depending on the number of variables and the given equations. Some systems of equations may have no solution or an infinite number of solutions.

What are the applications of solving simultaneous equations?

Solving simultaneous equations is used in various fields, such as engineering, physics, economics, and business. It is used to find the intersection point of two lines or curves, which represents the solution to the system of equations.

What are some tips for solving simultaneous equations?

Some tips for solving simultaneous equations include identifying the variables, choosing a method that works best for the given equations, checking your solutions, and practicing with different types of equations to improve your skills.

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