Question

determine o valor de m de modo que o par (m, m + 2) seja solução da equação x-4y=8.

Answer 1

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$\boxed{\begin{array}{c}\sf{determine~o~valor~de~m~de~modo}\\\sf{que~o~par (m, m + 2)~seja~soluc_{\!\!,}\tilde{a}o~da~equac_{\!\!,}\tilde{a}o~x-4y=8.}\end{array}}$

$\rm{\underline{soluc_{\!\!,}\tilde{a}o:}}\\\sf{Aqui~basta~substituir~x~por~m~e~y~por~m+2~em}\\\sf{em~seguida~resolver~a~equac_{\!\!,}\tilde{a}o}$

$\sf{m-4\cdot(m+2)=8}\\\sf{m-4m-8=8}\\\sf{-3m=8+8}\\\sf{-3m=16\cdot(-1)}\\\sf{3m=-16}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{m=-\dfrac{16}{3}}}}}}$