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Byju's Answer
Standard IX
Mathematics
First Four Postulates
It is known x...
Question
It is known x+y=10and that x=z show that 2+y=10
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Solution
The
given
equation
is
x
+
y
=
10
⇒
x
=
10
-
y
.
.
.
.
.
.
.
.
1
Also
,
x
=
2
.
.
.
.
.
.
.
.
2
Now
,
we
know
that
,
things
that
are
equal
to
same
thing
are
equal
to
one
another
.
So
,
10
-
y
=
2
or
,
2
+
y
=
10
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1
Similar questions
Q.
If it is known that
x
+
y
=
10
and that
x
=
z
, then
z
+
y
=
Q.
It is known that
x
+
y
=
10
,
then
x
+
y
+
z
=
10
+
z
. The Euclid's axiom that illustrates this statement is
Q.
It is known that
x
+
y
=
10
and
x
=
z
, then the value of
(
z
+
y
)
is
Q.
Show that
y
+
z
x
y
z
+
x
z
x
x
+
y
y
z
=
x
+
y
+
z
x
-
z
2
Q.
Show that
(
x
2
y
+
y
2
z
+
z
2
x
)
(
x
y
2
+
y
z
2
+
z
x
2
)
>
9
x
2
y
2
z
2
.
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