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Systems of Equations
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Solve the following system of equations using the substitution method:
2x + 3y = 11
x - y = 1
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A
(x, y) = (2, 3)
💡 Explanation:
To solve using substitution, solve one equation for one variable and substitute it into the other equation. Solving x - y = 1 for x, we get x = y + 1. Substituting this into 2x + 3y = 11, we get 2(y + 1) + 3y = 11. Solving for y, we get y = 2. Substituting y = 2 back into x = y + 1, we get x = 3. Therefore, the solution is (x, y) = (2, 3).