If the point $(2, -2)$ lies on the graph of the linear equation $5x + ky =4$, find the value of $k$.

Given:

The point $(2, -2)$ lies on the graph of the linear equation $5x + ky =4$

To do:

We have to find the value of $k$.

Solution:

The point $(2, -2)$ lies on the graph of the linear equation $5x + ky =4$.

This implies,

$(2, -2)$ satisfies the equation $5x + ky =4$.

Therefore,

$5(2)+k(-2)=4$

$10-2k=4$

$2k=10-4$

$2k=6$

$k=\frac{6}{2}$

$k=3$

The value of $k$ is $3$.

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Updated on: 10-Oct-2022

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