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Solving Systems of Equations by Substitution Worksheet for 8th ... - Free Printable

Solving Systems of Equations by Substitution Worksheet for 8th ...

Educational worksheet: Solving Systems of Equations by Substitution Worksheet for 8th .... Download and print for classroom or home learning activities.

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It looks like you've uploaded a worksheet titled "Solving Systems of Equations by Substitution", which contains several systems of linear equations to solve using the substitution method.

Since I can't view images directly, I'll need you to describe or type out the specific problem(s) you'd like help with. However, I can explain how to solve such problems in general and walk through an example.

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🔧 How to Solve a System of Equations by Substitution



Steps:

1. Solve one equation for one variable (usually isolate one variable).
2. Substitute that expression into the other equation.
3. Solve the resulting equation for the remaining variable.
4. Plug back to find the value of the first variable.
5. Write the solution as an ordered pair (x, y).

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Example Problem (from typical worksheets):



Let’s assume one of the problems is:

> 1)
> $ x + y = 6 $
> $ 2x - y = 3 $

#### Step 1: Solve one equation for one variable

From the first equation:
$$
x + y = 6 \Rightarrow x = 6 - y
$$

#### Step 2: Substitute into the second equation

Replace $ x $ in the second equation:
$$
2(6 - y) - y = 3
$$

#### Step 3: Solve for $ y $
$$
12 - 2y - y = 3 \\
12 - 3y = 3 \\
-3y = -9 \\
y = 3
$$

#### Step 4: Plug back to find $ x $
$$
x = 6 - y = 6 - 3 = 3
$$

#### Step 5: Solution
$$
(x, y) = (3, 3)
$$

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Now, if you can provide the specific system(s) from your image (e.g., list the equations), I can solve them step-by-step for you.

Just copy and paste the equations you'd like solved!
Parent Tip: Review the logic above to help your child master the concept of solving systems of linear equations by substitution worksheet answers.
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