Summary for solving a system of equations by substitution

The video tutorial explains how to solve systems of equations using the substitution method. It covers the process of identifying a variable with a coefficient of 1 or -1, solving for that variable, and substituting it into the other equation. The tutorial also provides tips and tricks, highlights common mistakes, and emphasizes the importance of evaluating expressions correctly. The video concludes with a reminder to find solutions for both variables in a system.

What is the first step in solving a system of equations by substitution?

• Solve for any variable

• Eliminate one variable

• Identify a variable with a coefficient of 1 or -1

• Graph the equations

When using substitution, what should you do if both variables have a coefficient of 1?

• Choose the variable you like better

• Use elimination instead

• Ignore the coefficients

• Solve for both variables simultaneously

What is a common mistake students make when substituting values back into equations?

• Not simplifying the equation

• Using the wrong equation

• Solving for the wrong variable

• Forgetting to solve for the second variable

How should you handle an expression like X = 2Y + 1 during substitution?

• Ignore the expression

• Solve for Y first

• Plug in 2Y + 1 for X

• Plug in 2 for X

What should you remember when writing solutions for systems of equations?

• Write the solution as a single number

• Only write the solution for Y

• Only write the solution for X

• Write solutions for both variables