Respuestas
1 Simplifica 14\times \frac{x}{3}\times \frac{y}{3}\times \frac{z}{3}14×
3
x
×
3
y
×
3
z
a \frac{14xyz}{27}
27
14xyz
.
\frac{x}{4}+6=\frac{14xyz}{27}-28\times \frac{x}{2}\times \frac{y}{5}-21\times \frac{x}{3}\times \frac{y}{2}\times \frac{z}{4}
4
x
+6=
27
14xyz
−28×
2
x
×
5
y
−21×
3
x
×
2
y
×
4
2 Simplifica 28\times \frac{x}{2}\times \frac{y}{5}28×
2
x
×
5
y
a \frac{28xy}{10}
10
28xy
.
\frac{x}{4}+6=\frac{14xyz}{27}-\frac{28xy}{10}-21\times \frac{x}{3}\times \frac{y}{2}\times \frac{z}{4}
4
x
+6=
27
14xyz
−
10
28xy
−21×
3
x
×
2
y
×
4
z
3 Simplifica \frac{28xy}{10}
10
28xy
a \frac{14xy}{5}
5
14xy
.
\frac{x}{4}+6=\frac{14xyz}{27}-\frac{14xy}{5}-21\times \frac{x}{3}\times \frac{y}{2}\times \frac{z}{4}
4
x
+6=
27
14xyz
−
5
14xy
−21×
3
x
×
2
y
×
4
z
4 Simplifica 21\times \frac{x}{3}\times \frac{y}{2}\times \frac{z}{4}21×
3
x
×
2
y
×
4
z
a \frac{21xyz}{24}
24
21xyz
.
\frac{x}{4}+6=\frac{14xyz}{27}-\frac{14xy}{5}-\frac{21xyz}{24}
4
x
+6=
27
14xyz
−
5
14xy
−
24
21xyz
5 Simplifica \frac{21xyz}{24}
24
21xyz
a \frac{7xyz}{8}
8
7xyz
.
\frac{x}{4}+6=\frac{14xyz}{27}-\frac{14xy}{5}-\frac{7xyz}{8}
4
x
+6=
27
14xyz
−
5
14xy
−
8
7xyz
6 Simplifica \frac{14xyz}{27}-\frac{14xy}{5}-\frac{7xyz}{8}
27
14xyz
−
5
14xy
−
8
7xyz
a -\frac{77xyz}{216}-\frac{14xy}{5}−
216
77xyz
−
5
14xy
.
\frac{x}{4}+6=-\frac{77xyz}{216}-\frac{14xy}{5}
4
x
+6=−
216
77xyz
−
5
14xy
7 Extrae el factor común 7xy7xy.
\frac{x}{4}+6=-7xy(\frac{11z}{216}+\frac{2}{5})
4
x
+6=−7xy(
216
11z
+
5
2
)
8 Divide ambos lados por -7−7.
-\frac{\frac{x}{4}+6}{7}=xy(\frac{11z}{216}+\frac{2}{5})−
7
4
x
+6
=xy(
216
11z
+
5
2
)
9 Simplifica \frac{\frac{x}{4}+6}{7}
7
4
x
+6
a \frac{\frac{x}{4}}{7}+\frac{6}{7}
7
4
x
+
7
6
.
-(\frac{\frac{x}{4}}{7}+\frac{6}{7})=xy(\frac{11z}{216}+\frac{2}{5})−(
7
4
x
+
7
6
)=xy(
216
11z
+
5
2
)
10 Simplifica \frac{\frac{x}{4}}{7}
7
4
x
a \frac{x}{4\times 7}
4×7
x
.
-(\frac{x}{4\times 7}+\frac{6}{7})=xy(\frac{11z}{216}+\frac{2}{5})−(
4×7
x
+
7
6
)=xy(
216
11z
+
5
2
)
11 Simplifica 4\times 74×7 a 2828.
-(\frac{x}{28}+\frac{6}{7})=xy(\frac{11z}{216}+\frac{2}{5})−(
28
x
+
7
6
)=xy(
216
11z
+
5
2
)
12 Eliminar paréntesis.
-\frac{x}{28}-\frac{6}{7}=xy(\frac{11z}{216}+\frac{2}{5})−
28
x
−
7
6
=xy(
216
11z
+
5
2
)
13 Divide ambos lados por xx.
\frac{-\frac{x}{28}-\frac{6}{7}}{x}=y(\frac{11z}{216}+\frac{2}{5})
x
−
28
x
−
7
6
=y(
216
11z
+
5
2
)
14 Divide ambos lados por yy.
\frac{\frac{-\frac{x}{28}-\frac{6}{7}}{x}}{y}=\frac{11z}{216}+\frac{2}{5}
y
x
−
28
x
−
7
6
=
216
11z
+
5
2
15 Simplifica \frac{\frac{-\frac{x}{28}-\frac{6}{7}}{x}}{y}
y
x
−
28
x
−
7
6
a \frac{-\frac{x}{28}-\frac{6}{7}}{xy}
xy
−
28
x
−
7
6
.
\frac{-\frac{x}{28}-\frac{6}{7}}{xy}=\frac{11z}{216}+\frac{2}{5}
xy
−
28
x
−
7
6
=
216
11z
+
5
2
16 Resta \frac{2}{5}
5
2
en ambos lados.
\frac{-\frac{x}{28}-\frac{6}{7}}{xy}-\frac{2}{5}=\frac{11z}{216}
xy
−
28
x
−
7
6
−
5
2
=
216
11z
17 Multiplica ambos lados por 216216.
(\frac{-\frac{x}{28}-\frac{6}{7}}{xy}-\frac{2}{5})\times 216=11z(
xy
−
28
x
−
7
6
−
5
2
)×216=11z
18 Reagrupa los términos.
216(\frac{-\frac{x}{28}-\frac{6}{7}}{xy}-\frac{2}{5})=11z216(
xy
−
28
x
−
7
6
−
5
2
)=11z
19 Divide ambos lados por 1111.
\frac{216(\frac{-\frac{x}{28}-\frac{6}{7}}{xy}-\frac{2}{5})}{11}=z
11
216(
xy
−
28
x
−
7
6
−
5
2
)
=z
20 Intercambia los lados.
z=\frac{216(\frac{-\frac{x}{28}-\frac{6}{7}}{xy}-\frac{2}{5})}{11}z=
11
216(
xy
−
28
x
−
7
6
−
5
2
)
Hecho