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Applications (Word Problem)

If x=2 α +1 a...

Question

If $x = 2 α + 1$ and $y = α - 1$ is a solution of the equation $2 x - 3 y + 5 = 0$ . Find the value of $α$ .

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Solution

Given equation: $2 x - 3 y + 5 = 0$

Since $(2 α + 1, α - 1)$ is the solution of equation $2 x - 3 y + 5 = 0$ , it will satisfy the equation

Substituting $x = 2 α + 1$ and $y = α - 1$ in $2 x - 3 y + 5 = 0$ , we get

$2 (2 α + 1) - 3 (α - 1) + 5 = 0$

$4 α + 2 - 3 α + 3 + 5 = 0$

$α + 10 = 0$

$α = - 10$

Hence, the value of $α$ is $- 10$ .

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Applications (Word Problem)

Standard VIII Mathematics

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