Not sure how to solve this system of equations (easy)

In summary, when solving a system of equations, it is important to first identify the number of variables and equations. Then, choose a method such as substitution or elimination and possibly graph the equations. Substitution involves solving for one variable and substituting it, while elimination involves manipulating the equations. A calculator can be used, but it is important to understand the steps. If a negative or non-real solution is obtained, it is possible that the equations do not have a solution. To solve more efficiently, start with the variable with the smallest coefficient and simplify the equations. Practice and familiarity can also improve efficiency.
  • #1
bmed90
99
0

Homework Statement



Im trying to find local min and max values. So I have fx and fy. I need to find critical points by setting them equal to 0


4x^3-4y=0 and 4y^3-4x=0

Homework Equations




4x^3-4y=0 and 4y^3-4x=0

are fx and fy respectively

The Attempt at a Solution



I just need to know how you would solve this set of 2 equations to get the points (0,0),(1,1) AND (-1,-1)
 
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  • #2
Solve for one variable in one of the equations, and substute for that variable in the other equation.
 
  • #3
Yes I tried that, being that is the obvious way to do it. I just couldn't do the algebra. Thanks
 
  • #4
Nevermind, I got it =D
 

Related to Not sure how to solve this system of equations (easy)

1. How do I approach solving a system of equations?

When solving a system of equations, it is important to first identify the number of variables and equations in the system. Then, choose a method such as substitution or elimination to solve for the variables. It may also be helpful to graph the equations to visually see the solution.

2. What is the difference between substitution and elimination?

Substitution involves solving for one variable in one equation and substituting it into the other equation. Elimination involves manipulating the equations by adding or subtracting them to eliminate one variable. Both methods can be used to solve a system of equations, but one may be more efficient depending on the equations given.

3. Can I use a calculator to solve a system of equations?

Yes, you can use a calculator to solve a system of equations. Many scientific calculators have a function specifically for solving systems of equations. However, it is important to understand the steps and methods used to solve the equations, rather than just relying on the calculator.

4. What should I do if I get a negative or non-real solution?

If you get a negative or non-real solution when solving a system of equations, it is possible that the equations do not have a solution. This can happen when the equations are parallel or inconsistent. Double check your work and make sure you didn't make any errors in solving the equations.

5. Are there any tips for solving a system of equations more efficiently?

One tip for solving a system of equations more efficiently is to start by solving for the variable with the smallest coefficient. This can make the process easier and help avoid fractions. Additionally, simplifying the equations by combining like terms can also make the process more manageable. Practice and familiarity with different types of equations can also improve efficiency in solving systems of equations.

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