Y = 3x-2 / 4 + x 다음 중 어느 것이 x와 같은가? A 2y + 1, B 5y + 2 / 3, C 4y + 8 / 1-y, D 4y + 2 / 3-y, E 2 + 1 / y

대답:

# (4y + 2) / (3-y) ~ (D) #

설명:

# y = (3x-2) / (4 + x) #

# "양면에"4 + x #

#rArry (4 + x) = 3x-2 #

# rArr4y + xy = 3x-2larrcolor (파란색) "왼쪽에 배포"#

# rArrxy-3x = -2-4ylarrcolor (파란색) "왼쪽의 x에 용어 모으기"#

#rArrx (y-3) = - (2 + 4y) larrcolor (파란색) "factor out x"#

#rArrx = - (2 + 4y) / (y-3) larrcolor (파란색) "나누기"(y-3) #

#rArrx = - (2 + 4y) / - (3-y) larrcolor (파란색) "factor out - 1"#

# rArrx = (4y + 2) / (y-3) ~ (D) #