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ALStruggling with Algebra 1? Comment "ALLDAY" and I’ll send you a link to my platform. Try it free for a week - search problems, watch lessons, take quizzes.
The substitution method is a way to solve a system of two equations by replacing one variable with an equivalent expression.
When one equation is already solved for a variable (like y = 3x − 7), you can substitute that expression into the other equation in place of that variable.
For example, with the system:
y = 3x − 7
2x + y = 13
Step 1: Identify the equation that's already solved for a variable. The first equation tells us that y = 3x − 7.
Step 2: Substitute that expression into the other equation. Since y equals 3x − 7, replace y in the second equation:
2x + (3x − 7) = 13
Step 3: Solve for x.
Combine like terms: 5x − 7 = 13
Add 7 to both sides: 5x = 20
Divide by 5: x = 4
Step 4: Substitute back to find y.
y = 3(4) − 7
y = 12 − 7
y = 5
Solution: (4, 5)
This means x = 4 and y = 5 make both equations true.
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