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LessonTitle: Systems of Linear Equations ALG 6.5Utah State Core Standard and Indicators Algebra Standard 2.2 Process Standards 15 Summary In this activity, students solve systems of equations problems
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How to fill out lessontitlesystems of linear equationsalg

01
To fill out the lessontitle system of linear equations algebraically, follow these steps:
02
Identify the given equations. A system of linear equations typically consists of two or more linear equations.
03
Choose a method for solving the system. There are various methods like substitution, elimination, and matrix methods.
04
If using the substitution method, solve one of the equations for one variable in terms of the other variable.
05
Substitute the expression found in step 3 into the other equation. This will give you a new equation with only one variable.
06
Solve the new equation for the remaining variable.
07
Substitute the value obtained in step 5 into one of the original equations to find the value of the other variable.
08
Check your solution by substituting the values of the variables back into both original equations. The solution should satisfy both equations.
09
Write the solution as an ordered pair (x, y) or as (x, y, z) if it is a three-variable system.

Who needs lessontitlesystems of linear equationsalg?

01
Anyone studying algebra or linear equations needs to learn how to solve systems of linear equations algebraically.
02
Engineers, scientists, and mathematicians often encounter systems of linear equations in their work.
03
Students preparing for standardized tests like SAT and ACT should be familiar with the concept of systems of linear equations.

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