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5.2 Worksheet Solving Systems of Equations Algebraically Substitutional: Date: Solve each system of equations by using substitution. 1. y 3x + 4 2. 3x 3y 15 4x + 2y 18 × 1 + 2y3. 5x + 6y 32 12y 4x
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01
To solve each system of equations, follow these steps:
02
Identify the system of equations that needs to be solved.
03
Choose a method to solve the system of equations: substitution, elimination, or graphing.
04
If using the substitution method, solve one equation for one variable in terms of the other variable.
05
Substitute the expression found in step 3 into the other equation.
06
Solve the resulting equation for the remaining variable.
07
Substitute the value found in step 5 back into one of the original equations and solve for the other variable.
08
Check the solution by substituting the values of the variables into both original equations.
09
If the values satisfy both equations, then it is the solution to the system of equations.

Who needs solve each system of?

01
Anyone who encounters a system of equations in their mathematical or scientific work needs to solve each system of. This includes students studying algebra, engineers, physicists, economists, statisticians, and anyone working with multiple variables and equations.
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