Question

calcule o valor de x das seguintes equações:​

Answer 1

Resposta:

Explicação passo-a-passo:

(I) $\frac{x+5}{5}=\frac{6x-7}{8}=>8(x+5)=5(6x-7)=>8x+40=30x-35=>8x-30x=-35-40=>-22x=-75=>x=\frac{-75}{-22}=>x=\frac{75}{22}$

(II) $\frac{x+5}{6}=7x-8=>x+5=6(7x-8)=>x+5=42x-48=>x-42x=-48-5=>-41x=-53=>x=\frac{-53}{-41}=>x=\frac{53}{41}$

(III) $\frac{x+6}{7}=\frac{8x-9}{2}=>2(x+6)=7(8x-9)=>2x+12=56x-63=>2x-56x=-63-12=>-54x=-75=>x=\frac{-75}{-54}=>x=\frac{25}{18}$

(IV) $\frac{x+7}{8}=\frac{9x-2}{3}=>3(x+7)=8(9x-2)=>3x+21=72x-16=>3x-72x=-16-21=>-69x=-37=>x=\frac{-37}{-69}=>x=\frac{37}{69}$