Learn step by step how to solve a system of equations by substitution

The video tutorial explains how to solve systems of equations using algebraic methods, focusing on the substitution method. The instructor provides a step-by-step guide, starting with identifying variables with coefficients of one or negative one, solving for one variable, and substituting it into the other equation. An example is provided to illustrate the process, and the tutorial concludes with a summary of the results.

What is the main advantage of using the substitution method when a variable has a coefficient of 1 or -1?

• It makes solving for the variable easier.

• It provides an exact solution point.

• It simplifies the graphing process.

• It eliminates the need for equations.

In the substitution method, what is the first step when you have a variable with a coefficient of 1?

• Combine like terms.

• Graph the equation.

• Solve for the variable.

• Eliminate the variable.

What do you do with the solved variable in the second step of the substitution method?

• Plug it into the other equation.

• Plug it into the same equation.

• Graph it on a coordinate plane.

• Ignore it and solve for another variable.

When substituting a variable that equals an expression, what is important to remember?

• The expression is plugged into the other equation.

• The expression should be ignored.

• The variable must equal a number.

• The variable should be eliminated.

What property is applied after substituting the expression into the other equation?

• Identity property

• Commutative property

• Distributive property

• Associative property

After applying the distributive property, what is the next step in solving the equation?

• Graph the equation.

• Add a new variable.

• Combine like terms.

• Subtract the expression.

What is the final step to find the solution to the system of equations?

• Eliminate all variables.

• Plug the value of one variable back into the original equation.

• Add a constant to both sides.

• Graph the solution.