How to solve
When x-coefficients match, subtract the equations to cancel x and solve for y, then back-substitute.
Steps
- Align like terms.
- Subtract to eliminate one variable.
- Solve the resulting one-variable equation, then find the other variable.
Example
x + y = 5 and x − y = 1
- Add (or subtract as needed): 2x = 6 ⇒ x = 3.
- y = 2.
Answer: 3 or 2 depending on the prompt
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