If \(2x + 3y = 26\) and \(y-x=2\), then the value of \(x + y\) is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 10
The second equation gives \(y\) in terms of \(x\), so putting it into the first equation leaves one equation in \(x\) alone.
\(y-x=2\), so \(y=x+2\)
\(2x+3(x+2)=26\)
\(5x+6=26\), so \(x=4\)
\(y=4+2=6\)
\(x+y=4+6=10\)