Q1. Solve the system of equations by the substitution method:

Background

Topic: Systems of Linear Equations (Substitution Method)

This question tests your ability to solve a system of two linear equations using the substitution method. This method involves solving one equation for one variable and substituting that expression into the other equation.

Key Terms and Formulas

• System of equations: Two or more equations with the same variables.

• Substitution method: Solve one equation for one variable, then substitute that expression into the other equation.

Step-by-Step Guidance

1. Notice that the first equation is already solved for : .

2. Substitute into the second equation .

3. Replace in the second equation: .

4. Expand the equation: .

5. Combine like terms to isolate on one side of the equation.

Try solving on your own before revealing the answer!