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<title>A.I.7.5</title>
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<b>Feladat: 7.5.</b><br /> <a name="algI_behelyettesites_haft_051127_02_teszt_05" /><a href="bib_box.php?mode=sne-s-j-&amp;citation_num=" target="bib_box" onclick="mutat('bib_box.php?mode=sne-s-j-&amp;citation_num='); return false;"></a>Melyik számot helyettesíthettük be az egyes kifejezésekbe, ha helyettesítési értéknek <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>3</m:mn></m:mrow></m:math>-t kaptunk?

<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>5</m:mn><m:mo>&middot;</m:mo><m:mi>x</m:mi></m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>5</m:mn><m:mo>&middot;</m:mo><m:mo stretchy="false">(</m:mo><m:mi>y</m:mi><m:mo>-</m:mo><m:mn>1</m:mn><m:mo stretchy="false">)</m:mo></m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:mfrac><m:mrow><m:mn>5</m:mn></m:mrow>

<m:mrow><m:mi>z</m:mi><m:mo>+</m:mo>

<m:mfrac><m:mrow><m:mn>2</m:mn></m:mrow>

<m:mrow><m:mn>3</m:mn></m:mrow>

</m:mfrac>

</m:mrow>

</m:mfrac>

</m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:mfrac><m:mrow><m:mi>u</m:mi><m:mo>+</m:mo><m:mn>3</m:mn></m:mrow>

<m:mrow><m:mn>7</m:mn></m:mrow>

</m:mfrac>

</m:mrow></m:math>.<br />

<div class="p"><!----></div>

<br /><b>A)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>=</m:mo><m:mn>15</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>y</m:mi><m:mo>=</m:mo><m:mn>10</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>z</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow><m:mn>15</m:mn></m:mrow>

<m:mrow><m:mn>11</m:mn></m:mrow>

</m:mfrac>

<m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>u</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow><m:mn>6</m:mn></m:mrow>

<m:mrow><m:mn>7</m:mn></m:mrow>

</m:mfrac>

</m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>B)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>=</m:mo><m:mn>0</m:mn><m:mo>,</m:mo><m:mn>6</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>y</m:mi><m:mo>=</m:mo><m:mo>-</m:mo><m:mn>0</m:mn><m:mo>.</m:mo><m:mn>4</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>z</m:mi><m:mo>=</m:mo><m:mn>1</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>u</m:mi><m:mo>=</m:mo><m:mn>18</m:mn></m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <b>C)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>=</m:mo><m:mn>0</m:mn><m:mo>,</m:mo><m:mn>6</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>y</m:mi><m:mo>=</m:mo><m:mn>1</m:mn><m:mo>.</m:mo><m:mn>6</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>z</m:mi><m:mo>=</m:mo><m:mn>1</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>u</m:mi><m:mo>=</m:mo><m:mn>18</m:mn></m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <b>D)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>=</m:mo><m:mn>15</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>y</m:mi><m:mo>=</m:mo><m:mn>10</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>z</m:mi><m:mo>=</m:mo><m:mn>1</m:mn><m:mo>;</m:mo><m:mi>&emsp;&emsp;&emsp;</m:mi><m:mi>u</m:mi><m:mo>=</m:mo><m:mn>18</m:mn></m:mrow></m:math> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>E)</b>&nbsp;&nbsp;&nbsp; egyik sem tökéletes<br />
<br />&nbsp;<br /></div>
<div class="feladat">
<a name="_solution_algI_behelyettesites_haft_051127_02_teszt_05" /><b>Megoldás: 7.5</b><br />
<b>C</b>
<br />&nbsp;<br />&nbsp;<br /></div>
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