Find the value of $\lambda$ if $x = -\lambda$ and $y = \frac{5}{2}$ is a solution of the equation $x + 4y - 7 = 0$.

Given:

$x = -\lambda$ and $y = \frac{5}{2}$ is a solution of the equation $x + 4y - 7 = 0$.

To do:

We have to find the value of $\lambda$.

Solution:

If $(x, y)$ is a solution of the equation $ax+by+c =0$, then it satisfies the given equation.

Therefore,

$-\lambda +4(\frac{5}{2})-7=0$

$-\lambda+10-7=0$

$-\lambda=-3$

$\lambda=3$

The value of $\lambda$ is $3$. 

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Updated on: 10-Oct-2022

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