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Name:___Algebra 1 Core Values:TENACITYDate:INTEGRITY___ GOFORITPeriod:ENCOURAGE___REACHOUTHomework: Unit 6, Day 3: Solving Systems of Equations with Substitution 1. What is the solution to this system
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Identify the variables in each equation.
02
Write down the equations using the variables identified.
03
Solve one of the equations for one variable in terms of the other variable.
04
Substitute the expression for the variable into the other equation.
05
Solve the resulting equation for the remaining variable.
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Substitute the value of the remaining variable back into one of the original equations to solve for the other variable.
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Check your solution by substituting the values back into both equations to ensure they are satisfied.

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Systems of equations involve multiple equations that are solved simultaneously to find common solutions for the variables involved.
Typically students learning algebra or calculus are required to solve systems of equations as part of their coursework.
To fill out systems of equations, you need to write down each equation, align them properly, and then use methods like substitution or elimination to solve for the variables.
The purpose of systems of equations is to find the values of variables that make all equations in the system true at the same time.
You must report the equations involved, the variables being solved for, and the solutions found.
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