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Practice solving systems of equations by substitution with this interactive worksheet. Enter your answers and check your work with Infinite Algebra 1 software.

Learn how to use substitution to solve systems of linear equations with one or more variables. Follow the five-step process with examples, explanations and practice problems.

method for solving systems of equations, called the substitution method. Example 1. Note that the second equation in this system of equations is of the form “y = something”, and this “something” only involves the variable x. {5x − 2y = 16 y = −2x + 1 This means we can replace y in the first equation by the expression that y equals

Linear Systems: SUBSTITUTION METHOD Guided Notes . Steps for solving systems using SUBSTITUTION: Step 1: Isolate one of the variables. Step 2: Substitute the expression from Step 1 into the OTHER equation. • The resulting equation should have only one variable, not both x and y. Step 3: Solve the new equation.

Note: There are two Solving Systems of Linear Equations handouts, one by Substitution and another by Elimination. A linear equation is an equation for a line. A system of equations involves one or more equations working together. This handout focuses on systems of equations with one solution for the system. These systems are known as ...

Learn how to solve systems of equations using substitution, a method that involves finding the lone variable and plugging it into the other equation. See examples, steps, and tips for graphing and solving different types of systems.

Solving Systems of Equations by Substitution . Throughout this tutorial, we have dealt with problems that have one equation and usually one variable to work with. However, many times in algebra we have to deal with problems which give rise to sets of equations with several variables. If the particular problem gives us a set of

1) Solve for one variable in one equation. 2) Substitute the variable into the other equation. 3) Solve for the first variable. 4) Substitute the answer for the first variable in either equation to find the other variable. 5) Write the answer as an ordered pair. Let’s look at an example where substitution works nicely: Example 1 34 1 21 xy xy

Name _____ riversidemath.com Solving Systems of Equations – Substitution 1. =2 +1 4 −5 =13 3. =2 −20

system could be solved algebraically. Using the steps outlined on the handout for solving a system of equations by substitution, demonstrate how to solve this system of equations by substitution. Step 2 - Distribute copies of Steps to Solve a System of Equations by Substitution handout. Ask the students to review the steps on the handout.

Solving Systems of Equations by Substitution Date_____ Period____ Solve each system by substitution. 1) y = 7x − 10 y = −3 (1, −3) 2) y = −8 y = −2x − 12 (−2, −8) 3) y = 6x y = 5x + 7 (7, 42) 4) y = 9x − 9 y = 9 (2, 9) 5) y = −4 y = x − 8 (4, −4) 6) y = 8x − 9 y = 7 (2, 7) 7) y = 6x − 14

A system of three linear equation can have one solution, infinitely many solutions and no solutions System of three equations with three variables can be solved by substitution and elimination. Substitution method Example: Solve 1) Solve one of the equations for one of the variables (choose an equation that is easiest to solve for one

Solving a System of Linear Equations by Substitution Step 1 Solve one of the equations for one of the variables. Step 2 Substitute the expression from Step 1 into the other equation and solve for the other variable. 3 Step 3 Substitute the value from Step 2 into one of the original equations and solve. Practice 3(16 Worked-Out Examples Example #1

Infinite Algebra 1 - Solving Systems of Equations by Substitution Created Date: 5/20/2020 7:54:01 PM ...

As linear systems of equations become larger and larger, solving by substitution can become quite long. Solving linear systems by Elimination may help simplify some of those calculations. Outlined here is a summary of steps needed to solve linear equations by Substitution. Step 1: To solve for a consistent system, check to see if the number of ...

Example 3 (Substitution Method) Look for a convenient substitution when using the Substitution Method; look for a variable that is by itself on one side of the equation. Solve: 4x+ y= 8 x = 5! y Since x is equivalent to 5! y, replace x in the first equation with 5! y. Solve as usual. To find x, use either of the original two equations.

Solving Systems of Equations by Substitution Date_____ Period____ Solve each system by substitution. 1) y = 6x − 11 −2x − 3y = −7 2) 2x − 3y = −1 y = x − 1 3) y = −3x + 5 5x − 4y = −3 4) −3x − 3y = 3 ... Systems of Equations Substitution Author: Mike Created Date:

6.2 Worksheet - SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION Directions: Solve each problem by substitution, then state the solution and type of system. 1. { =−2 +5 3 =− −5 1. Solution: Type of system: 2. {4 + =11 2 +5 =1 2. Solution: Type of system: ...

Solving a system of equations by substitution Step 1: Solve an equation for one variable. Step 2: Substitute Step 3: Solve the equation. Step 4: Plug back in to find the other variable. Step 5: Check your solution. Pick the easier equation. The goal is to get y= ; x= ; a= ; etc. Put the equation solved in Step 1 into the other equation.

Section 2.2: Solving Systems of Equations by Substitution Objective: Solve systems of equations using substitution. Solving a system by graphing has several limitations. First, it requires the graph to be perfectly drawn. If the lines are not straight we may arrive at the wrong answer. Second,