Solve the system x + y = 6 and x - y = 2. Which value is x?

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Multiple Choice

Solve the system x + y = 6 and x - y = 2. Which value is x?

Explanation:
By using the elimination method for a system of linear equations, you add the equations to cancel a variable. The two equations are x + y = 6 and x − y = 2. Adding them gives (x + y) + (x − y) = 6 + 2, which simplifies to 2x = 8. Therefore x = 4. Substituting back to check: 4 + y = 6 yields y = 2, and 4 − 2 = 2 confirms the second equation. So the value of x is 4.

By using the elimination method for a system of linear equations, you add the equations to cancel a variable. The two equations are x + y = 6 and x − y = 2. Adding them gives (x + y) + (x − y) = 6 + 2, which simplifies to 2x = 8. Therefore x = 4. Substituting back to check: 4 + y = 6 yields y = 2, and 4 − 2 = 2 confirms the second equation. So the value of x is 4.

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