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QuizReview6.1to6.4 Name:___Algebra1Period:___Date:___Completeproblems1and2usingDesmos:1. Solvethefollowingsystemsofequations: a)b)2. Whatisthesumofthex&yvaluesinthesolutiontothesystem:3. Solvethefollowingsystemsofequationsusingsubstitution:
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How to fill out solving a system of

01
To solve a system of equations, follow these steps:
02
Write down the given equations in standard form.
03
Choose a method to solve the system of equations, such as substitution, elimination, or graphing.
04
If using the substitution method, solve one of the equations for one variable and substitute it into the other equation.
05
If using the elimination method, add or subtract the equations to eliminate one variable and solve for the remaining variable.
06
If using the graphing method, plot the equations on a coordinate plane and find the point of intersection.
07
Solve for the values of the variables by substituting the obtained values into any of the original equations.
08
Check the solution by substituting the values back into both equations to ensure they satisfy both equations.
09
Write down the final solution as an ordered pair or set of values for the variables.
10
If necessary, simplify or express the solution in a desired form.

Who needs solving a system of?

01
Anyone who encounters a system of equations in mathematics or real-life problems may need to solve it.
02
Students studying algebra, calculus, or any math-related subject use systems of equations to model and solve real-world situations.
03
Engineers, scientists, and researchers often encounter systems of equations when solving complex problems in their respective fields.
04
Individuals involved in financial planning, budgeting, or optimization problems may need to solve systems of equations to make informed decisions.
05
Professionals in industries such as physics, chemistry, economics, and computer science may also need to solve systems of equations in their work.
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Solving a system of equations involves finding the values of variables that satisfy multiple equations simultaneously.
Individuals or organizations that need to report multiple related financial equations or datasets are typically required to file their solutions.
To fill out a system, list each equation clearly, use appropriate methods such as substitution or elimination to find variable values, and ensure all variables are accounted for.
The purpose is to find the intersection points or solutions that satisfy all equations involved, which can represent real-world scenarios such as budgets, resources, or constraints.
The values of the variables that solve the equations must be reported, along with any relevant calculations or methods used.
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