An algebra problem by Haroon Usman

Algebra Level 1

Let s s and h h satisfy the system of equations { h + s = 13 h × s = 42 s − h = 1. \begin{cases} h + s= 13 \\ h \times s = 42 \\ s - h = 1. \end{cases}

Find the value of s s .


The answer is 7.

Haroon Usman by Haroon Usman , 20, Oman

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1 solution

Jordan Cahn
Nov 27, 2018

Add the first and third equations together: 2 s = 14 2s = 14 , so s = 7 s=\boxed{7} . The middle equation is only relevant in confirming that there is indeed a solution ( h = 6 h=6 ).

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