<span><span>{<span><span>y+13x=2</span><span>4y−13x=4</span></span></span><span>{<span><span>y+13x=2</span><span>4y−13x=4</span></span></span></span>Решение. Начальные преобразования (общие для обоих методов).<span><span><span>{<span><span>y+13x=2</span><span>4y−13x=4</span></span></span>⇒</span><span><span>{<span><span>y+13x=2</span><span>4y−13x=4</span></span></span>⇒</span></span><span><span>{<span><span>13x+y=2</span><span>4y−13x=4</span></span></span><span>{<span><span>13x+y=2</span><span>4y−13x=4</span></span></span></span>Решение методом подстановки.<span><span><span>{<span><span>13x+y=2</span><span>−13x+4y=4</span></span></span>⇒</span><span><span>{<span><span>13x+y=2</span><span>−13x+4y=4</span></span></span>⇒</span></span><span><span><span>{<span><span>y=−13x+2</span><span>−13x+4y=4</span></span></span>⇒</span><span><span>{<span><span>y=−13x+2</span><span>−13x+4y=4</span></span></span>⇒</span></span><span><span><span>{<span><span>y=−13x+2</span><span>−13x+4<span>(<span>−13x+2</span>)</span>=4</span></span></span>⇒</span><span><span>{<span><span>y=−13x+2</span><span>−13x+4<span>(<span>−13x+2</span>)</span>=4</span></span></span>⇒</span></span><span><span><span>{<span><span>y=−13x+2</span><span>−65x+4=0</span></span></span>⇒</span><span><span>{<span><span>y=−13x+2</span><span>−65x+4=0</span></span></span>⇒</span></span><span><span><span>{<span><span>y=−13x+2</span><span>x=<span>465</span></span></span></span>⇒</span><span><span>{<span><span>y=−13x+2</span><span>x=<span>465</span></span></span></span>⇒</span></span><span><span>{<span><span>y=1,2</span><span>x=<span>465</span></span></span></span><span>{<span><span>y=1,2</span><span>x=<span>465</span></span></span></span></span>Ответ:<span><span><span>(<span><span>465</span>;<span>65</span></span>)</span>=<span>(<span><span>465</span>;1<span>15</span></span>)</span>≈(0,062;1,2)</span><span><span>(<span><span>465</span>;<span>65</span></span>)</span>=<span>(<span><span>465</span>;1<span>15</span></span>)</span>≈(0,062;1,2)</span></span>Решение методом сложения.<span><span>{<span><span>13x+y=2</span><span>−13x+4y=4</span></span></span><span>{<span><span>13x+y=2</span><span>−13x+4y=4</span></span></span></span>Складываем уравнения:<span><span><span>+<span>{<span><span>13x+y=2</span><span>−13x+4y=4</span></span></span></span><span>+<span>{<span><span>13x+y=2</span><span>−13x+4y=4</span></span></span></span></span><span><span>(13x+y)+(−13x+4y)=2+4</span><span>(13x+y)+(−13x+4y)=2+4</span></span></span><span><span>5y=6</span><span>5y=6</span></span><span><span>y=1,2</span><span>y=1,2</span></span>Подставиим найденную переменную в первое уравнение:<span><span>13x+(<span>65</span>)=2</span><span>13x+(<span>65</span>)=2</span></span><span><span>x=<span>465</span></span><span>x=<span>465</span></span></span>Ответ:<span><span><span>(<span><span>465</span>;<span>65</span></span>)</span>=<span>(<span><span>465</span>;1<span>15</span></span>)</span>≈(0,062;1,2)</span><span><span><span>(<span><span>465</span>;<span>65</span></span>)</span>=<span>(<span><span>465</span>;1<span>15</span></span>)</span>≈(0,062;1,2)</span><span> </span></span></span>