Question

x and y are $I^{+}$, which satisfies $2\le x\le 5$ and $2x+3y=13$. List all the possible values of x and y.
[4 MARKS]

Answer 1

Each value: 1 Mark

x, y, $ϵ1^{+}$ which satisfies
$2\le x\le 5and2x+3y=13x=2,3,4,5\left(i\right)2\times 2+3y=13\Rightarrow 3y=9\Rightarrow y=3\left(ii\right)2\times 3+3y=13\Rightarrow 3y=7\Rightarrow y=\frac{7}{3}\left(iii\right)2\times 4+3y=13\Rightarrow 3y=5\Rightarrow y=\frac{5}{3}\left(iv\right)2\times 5+3y=13\Rightarrow 3y=3\Rightarrow y=1$