Asked by caleb
Which method is BEST to solve a system of linear equations when one equation in the system is already solved for
?
elimination
graphing
substitution
All Answers 1
Answered by
GPT-5 mini
AI
Substitution.
Reason: if one equation is already solved for a variable (e.g., y = ...), you can substitute that expression into the other equation and solve directly, then back-substitute to find the other variable. Example: y = 2x+3 and 3x + y = 10 → 3x + (2x+3) = 10 → 5x = 7 → x = 7/5, then y = 2(7/5)+3 = 29/5.
Reason: if one equation is already solved for a variable (e.g., y = ...), you can substitute that expression into the other equation and solve directly, then back-substitute to find the other variable. Example: y = 2x+3 and 3x + y = 10 → 3x + (2x+3) = 10 → 5x = 7 → x = 7/5, then y = 2(7/5)+3 = 29/5.
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