<em><u>Solve the following system:</u></em>
<u><em>5 x + 10 y = 15 | (equation 1)</em></u>
<u><em>10 x + 3 y = 13 | (equation 2)</em></u>
<u><em>Swap equation 1 with equation 2:</em></u>
<u><em>{10 x + 3 y = 13 | (equation 1)</em></u>
<u><em>5 x + 10 y = 15 | (equation 2)</em></u>
<u><em>Subtract 1/2 × (equation 1) from equation 2:</em></u>
<u><em>{10 x + 3 y = 13 | (equation 1)</em></u>
<u><em>0 x+(17 y)/2 = 17/2 | (equation 2)</em></u>
<u><em>Multiply equation 2 by 2/17:</em></u>
<u><em>{10 x + 3 y = 13 | (equation 1)</em></u>
<u><em>0 x+y = 1 | (equation 2)</em></u>
<u><em>Subtract 3 × (equation 2) from equation 1:</em></u>
<u><em>{10 x+0 y = 10 | (equation 1)</em></u>
<u><em>0 x+y = 1 | (equation 2)</em></u>
<u><em>Divide equation 1 by 10:</em></u>
<u><em>{x+0 y = 1 | (equation 1)</em></u>
<u><em>0 x+y = 1 | (equation 2){</em></u>
- <em>Collect results:</em>
<h2><em><u>
Answer: x = 1/2</u></em></h2>