Explicación paso a paso:
[tex]\frac{ 2 }{ 3 } \sqrt{ \frac{ 3 }{ 8 } y+1 } =0.5[/tex]
[tex]\frac{\frac{2}{3}\sqrt{\frac{3}{8}y+1}}{\frac{2}{3}}=\frac{\frac{1}{2}}{\frac{2}{3}} [/tex]
[tex]\sqrt{\frac{3}{8}y+1}=\frac{\frac{1}{2}}{\frac{2}{3}} [/tex]
[tex]\sqrt{\frac{3}{8}y+1}=\frac{3}{4} [/tex]
[tex]\frac{3}{8}y+1=\frac{9}{16} [/tex]
[tex]\frac{3}{8}y+1-1=\frac{9}{16}-1 [/tex]
[tex]\frac{3}{8}y=\frac{9}{16}-1 [/tex]
[tex]\frac{3}{8}y=-\frac{7}{16} [/tex]
[tex]\frac{\frac{3}{8}y}{\frac{3}{8}}=\frac{-\frac{7}{16}}{\frac{3}{8}} [/tex]
[tex]y=\frac{-\frac{7}{16}}{\frac{3}{8}} [/tex]
[tex]y=-\frac{7}{6} [/tex]
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Explicación paso a paso:
[tex]\frac{ 2 }{ 3 } \sqrt{ \frac{ 3 }{ 8 } y+1 } =0.5[/tex]
[tex]\frac{\frac{2}{3}\sqrt{\frac{3}{8}y+1}}{\frac{2}{3}}=\frac{\frac{1}{2}}{\frac{2}{3}} [/tex]
[tex]\sqrt{\frac{3}{8}y+1}=\frac{\frac{1}{2}}{\frac{2}{3}} [/tex]
[tex]\sqrt{\frac{3}{8}y+1}=\frac{3}{4} [/tex]
[tex]\frac{3}{8}y+1=\frac{9}{16} [/tex]
[tex]\frac{3}{8}y+1-1=\frac{9}{16}-1 [/tex]
[tex]\frac{3}{8}y=\frac{9}{16}-1 [/tex]
[tex]\frac{3}{8}y=-\frac{7}{16} [/tex]
[tex]\frac{\frac{3}{8}y}{\frac{3}{8}}=\frac{-\frac{7}{16}}{\frac{3}{8}} [/tex]
[tex]y=\frac{-\frac{7}{16}}{\frac{3}{8}} [/tex]
[tex]y=-\frac{7}{6} [/tex]