Find the value of (x) from (6x-y=23) and (2x-y=7).

Correct answer: (x=4)

The direct answer is option C: \(x=4\). Subtract the second equation from the first: \((6x-y)-(2x-y)=23-7\). The \(-y\) terms cancel, giving \(4x=16\), so \(x=4\). Substitution checks it: the equations become \(24-y=23\) and \(8-y=7\), both giving \(y=1\). Option A, \(x=2\), would make the difference of the left sides only 8, not 16. Option B, \(x=3\), gives \(4x=12\), not 16. Option C is correct because it gives \(4x=16\). Option D, \(x=5\), gives \(4x=20\), also incorrect. Equal terms with the same sign disappear when one equation is subtracted from the other; write brackets carefully so the minus sign changes every term in the second equation.