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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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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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