Question

determine o valor de y nas equações a seguir​

Answer 1

Resposta:

a) $y=-\frac{5}{2}$

b) $y = \frac{16}{5}$

Explicação passo a passo:

a)

$\frac{2y}{5}-\frac{y-2}{3}=\frac{1}{2}\\ \frac{6y-5y+10}{15}=\frac{1}{2}\\ 6y-5y+10=\frac{15}{2}\\ y+10=\frac{15}{2}\\ y = \frac{15}{2}-10\\ y = \frac{15-20}{2}\\\\ y=-\frac{5}{2}$

b)

$\frac{1+y}{3} -1=\frac{2-y}{2}\\ \frac{1+y-3}{3}=2-\frac{y}{2}\\\\ \frac{1}{3}+\frac{y}{3}-1=2-\frac{y}{2}\\\frac{y}{3}+\frac{y}{2}=2+1-\frac{1}{3}\\\frac{2y+3y}{6}=\frac{9-1}{3}\\\frac{5y}{6}=\frac{8}{3}\\y = \frac{6*8}{3*5}\\y=\frac{48}{15}\\\\y = \frac{16}{5}$