Solve the system: x + y = 5; x - y = 1. What is the value of x?

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Multiple Choice

Solve the system: x + y = 5; x - y = 1. What is the value of x?

Explanation:
Solving a system of linear equations by eliminating a variable is the idea here. When you add the two equations, the y terms cancel: (x + y) + (x − y) = 5 + 1, which gives 2x = 6. That leads to x = 3. Then substitute back into x + y = 5 to find y: 3 + y = 5, so y = 2. So the value of x is 3.

Solving a system of linear equations by eliminating a variable is the idea here. When you add the two equations, the y terms cancel: (x + y) + (x − y) = 5 + 1, which gives 2x = 6. That leads to x = 3. Then substitute back into x + y = 5 to find y: 3 + y = 5, so y = 2. So the value of x is 3.

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