Question

5.3 solving systems of equations by substitution quiz

the substitution method requires one equation to be solved for a variable.

true
false

Explanation:

Analyze the substitution method definition

The substitution method is an algebraic technique used to solve systems of equations. To apply this method, we must express one variable in terms of the other variable(s) using one of the equations. This step is referred to as solving one equation for a variable.

Evaluate the statement

Using the Substitution Method knowledge point, we look at the statement: "The substitution method requires one equation to be solved for a variable."

Since the first step of substitution is to isolate a variable (e.g., \(x\) or \(y\)) in one equation so that we can substitute its equivalent expression into the other equation, this statement is conceptually correct.

Answer:

• True (Correct answer)
• False