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The point of intersection of the lines \(x+y=7\) and \(x-y=3\) is:

  • A.(2, 5)
  • B.(5, 2)
  • C.(4, 3)
  • D.(3, 4)

Answer: B

We solve the system of linear equations.

Eq 1: x + y = 7

Eq 2: x - y = 3

Adding the two equations: (x+y) + (x-y) = 7+3 => 2x = 10 => x = 5.

Substitute x=5 into the first equation: 5 + y = 7 => y = 2.

The point of intersection is (5, 2).

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