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Byju's Answer
Standard IX
Mathematics
Solution of Linear Equation in 2 Variables
Find the valu...
Question
Find the value of 𝒑, if 𝒙 = 𝟑, 𝒚 = −𝟒 is a solution of the equation 𝟒𝒙 + 𝟐𝒑𝒚 = 𝟐𝟖.
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Solution
Given: 𝒙 = 𝟑, 𝒚 = −𝟒 is a solution of the equation
𝟒𝒙 + 𝟐𝒑𝒚 = 𝟐𝟖
Substitute 𝒙 = 𝟑, 𝒚 = −𝟒 in the equation, we get,
4
(
3
)
+
2
p
(
−
4
)
=
28
−
8
p
=
16
p
=
−
2
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6
Similar questions
Q.
Find all the zeroes of the polynomial
p
(
x
)
=
x
4
+
x
3
−
3
4
x
2
−
4
x
+
1
2
0
if two of its zeroes are
2
and
−
2
.
Q.
Match the graphs with their respective linear equations.
𝒙 + 𝒚 = 𝟐 𝒙 + 𝒚 = 𝟎 𝟒𝒙 + 𝟕𝒚 = 𝟐𝟖
Q.
If the polynomial
g
(
x
)
=
x
2
+
5
x
+
k
is a factor of
p
(
x
)
=
4
x
4
+
2
0
x
3
−
2
6
x
2
−
1
0
x
+
1
2
then find the value of 𝒌. Also find all the zeroes of the polynomial.
Q.
If 𝒙 = 𝟐, 𝒚 = −𝟐 is a solution of the linear equation 3𝒙 − 𝟐𝒚 = 𝒌, then what is the value of 𝒌?
Q.
The graph of 𝒚 = 𝒑(𝒙) is shown below. Looking at the graph, find the number of zeroes of 𝒑(𝒙).
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