If the point (2,-2) lies on the graph of the linear equation 5x+ky=4, find the value of k.
Answers
Answer:
point 2,-2 satisfies the equation
5x +ky=4
5×2+k×-2=4
-2k=-6
k=3
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Concept :
An equation which can be put in the form ax + by + c = 0, where a, b & c are real numbers x, y are variables, is called linear equation in two variables.
In equation ax + by + c = 0, the values of x and y are always real.
ax + by + c = 0 is also called standard form a linear equation in two variables.
Given : The point (2, -2) lies on the graph of the linear equation 5x + ky = 4.
On putting x = 2 and y = - 2 in the given linear equation 5x + ky = 4.
⇒ 5 × 2 - 2k = 4
⇒ 10 - 2k = 4
⇒ - 2k = 4 - 10
⇒ - 2k = - 6
⇒ 2k = 6
⇒ k = 6/2
⇒ k = 3
Hence, the value of k is 3.
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