Question

Resolver as seguintes equações do 1o grau, sendo
U=Q:

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Answer 1

$\mathtt{d)}~\mathsf{-\dfrac{3(x-4)}{2}-\dfrac{3}{5}=\dfrac{2(3x-1)}{4}\cdot(20)}\\\mathsf{-30(x-4)-12=10(3x-1)}\\\mathsf{-30x+120-12=30x-10}\\\mathsf{-30x-30x=-120-10+12}\\\mathsf{-60x=-118\cdot(-1)}\\\mathsf{60x=118}\\\mathsf{x=\dfrac{118\div2}{60\div2}}\\\mathsf{x=\dfrac{59}{30}}$

$\dotfill$

$\mathtt{e)}~\mathsf{\dfrac{4(m+2)}{6}\cdot\dfrac{1}{2}=-\dfrac{5(m-1)}{2}}\\\mathsf{\dfrac{4(m+2)}{12}=-\dfrac{5(m-1)}{2}}\\\mathsf{8(m+2)=-60(m-1)}\\\mathsf{8m+16=-60m+60}\\\mathsf{8m+60m=60-16}\\\mathsf{68m=44}\\\mathsf{m=\dfrac{44\div4}{68\div4}}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{m=\dfrac{11}{17}}}}}}$