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Name: Class: M8U7: Notes & HW #8 Practice Solving Systems Date: Solve the following systems algebraically, find the solution. 1. 2 × y 12 × y 52.× y 3 × y 93.y × y × 24.2 × y 2 y 3x 21Find
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How to fill out solving systems of equations

01
Identify the given equations. These equations will include variables with coefficients and constants.
02
Choose a method to solve the system of equations. Common methods include substitution, elimination, and graphing.
03
Start with the selected method. For example, if using substitution, solve one equation for one variable and substitute it into the other equation.
04
Simplify the resulting equation and solve for the remaining variable.
05
Substitute the found value back into one of the original equations to solve for the other variable.
06
Check the solution by substituting the found values into both original equations. If they satisfy both equations, the solution is correct.
07
If the solution does not satisfy both equations, recheck the calculations and try an alternative method if necessary.

Who needs solving systems of equations?

01
Solving systems of equations is needed in various fields including mathematics, physics, engineering, and economics.
02
Engineers often use systems of equations to model real-world situations and find solutions for multiple unknowns.
03
In physics, systems of equations can help solve problems related to motion, forces, and equilibrium.
04
Economists use systems of equations to analyze supply and demand, maximize profits, and make predictions.
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Solving systems of equations is the process of finding the values of variables that satisfy multiple equations simultaneously.
Anyone needing to find the solution to a set of equations is required to use solving systems of equations.
To fill out solving systems of equations, one must input the coefficients of the variables and constants in the equations.
The purpose of solving systems of equations is to find the unique solution or solutions for a set of equations.
The information reported on solving systems of equations includes the equations themselves and the values of the variables that satisfy them.
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