a: =>-11/12x=5/6-1/4=10/12-3/12=7/12
=>x=-7/12:11/12=-7/12*12/11=-7/11
b: =>x-1=-2
=>x=-1
c: =>3/5x=-1/7+1/2=-2/14+7/14=5/14
=>x=5/14:3/5=5/14*5/3=25/42
d: =>x:3/5=5/2*2/3=10/6=5/3
=>x=5/3*3/5=1
a) \(-\dfrac{11}{12}
.
x+\dfrac{1}{4}=\dfrac{5}{6}\)
\(-\dfrac{11}{12}
.
x\) \(=\dfrac{5}{6}-\dfrac{1}{4}\)
\(-\dfrac{11}{12}
.
x\) \(=\dfrac{7}{12}\)
\(x\) \(=\dfrac{7}{12}
:
\left(-\dfrac{11}{12}\right)\)
\(x\) \(=-\dfrac{7}{11}\)
b) \(x-1^5=32\)
\(=x-1\) \(=32\)
\(x\) \(=32+1\)
\(x\) \(=33\)
c) \(\dfrac{3}{5}
.
x-\dfrac{1}{2}=-\dfrac{1}{7}\)
\(\dfrac{3}{5}
.
x\) \(=-\dfrac{1}{7}+\dfrac{1}{2}\)
\(\dfrac{3}{5}
.
x\) \(=\dfrac{5}{14}\)
\(x\) \(=\dfrac{5}{14}
:
\dfrac{3}{5}\)
\(x\) \(=\dfrac{25}{42}\)
d) \(x
:
\dfrac{3}{5}=\dfrac{5}{2}
:
\dfrac{3}{2}\)
\(x
:
\dfrac{3}{5}=\dfrac{5}{3}\)
\(x\) \(=\dfrac{5}{3}
.
\dfrac{3}{5}\)
\(x\) \(=1\)