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Solve the equation ax + b = 0, Where a and b are rationals and a is not 0​

Answer» <html><body><p>Solution:</p><p></p><p>Required answer:</p><p>x = - b/a is the solution of the given equation.</p><p></p><p>Given Information:</p><p>Solve the equation ax + b = 0, Where a and b are rationals and a is not 0.</p><p></p><p>Explanation:</p><p></p><p>We have ax + b = 0, where a and b are rationals and a ≠ 0.</p><p></p><p>Transporting b to R.H.S. , We get</p><p>ax = -b</p><p></p><p>Since, a ≠ 0, we <a href="https://interviewquestions.tuteehub.com/tag/divide-441023" style="font-weight:bold;" target="_blank" title="Click to know more about DIVIDE">DIVIDE</a> both <a href="https://interviewquestions.tuteehub.com/tag/sides-1207029" style="font-weight:bold;" target="_blank" title="Click to know more about SIDES">SIDES</a> by 'a'</p><p><img align="absmiddle" alt="\longrightarrow \sf {\dfrac{ax}{a} = - \dfrac{b}{a}} \\\\" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Csf%20%7B%5Cdfrac%7Bax%7D%7Ba%7D%20%3D%20-%20%5Cdfrac%7Bb%7D%7Ba%7D%7D%20%5C%5C%5C%5C%20" title="\longrightarrow \sf {\dfrac{ax}{a} = - \dfrac{b}{a}} \\\\"/></p><p></p><p><img align="absmiddle" alt="\longrightarrow \sf {x = - \dfrac{b}{a}}\\\\" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Csf%20%7Bx%20%3D%20-%20%5Cdfrac%7Bb%7D%7Ba%7D%7D%5C%5C%5C%5C%20" title="\longrightarrow \sf {x = - \dfrac{b}{a}}\\\\"/></p><p></p><p>So, </p><p>x = - b/a is the solution of the given equation.</p><p></p><p>Note:</p><p>In the above question, the linear equations to be solved are <a href="https://interviewquestions.tuteehub.com/tag/reduced-1181337" style="font-weight:bold;" target="_blank" title="Click to know more about REDUCED">REDUCED</a> to the form ax + b = 0 to find the solution. So, the <a href="https://interviewquestions.tuteehub.com/tag/general-471730" style="font-weight:bold;" target="_blank" title="Click to know more about GENERAL">GENERAL</a> solution of an equation ax + b = 0</p><p></p><p>Where a, b are rationals and a ≠ 0 is given by x = - b/a</p></body></html>


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