Find the values of x and y from the following ordered pairs.$(2x-y, 2) = (5, y+1)$

Given :

The given expression is $(2x-y, 2) = (5, y+1)$.

To do :

We have to find the value of x and y.

Solution :

$(2x-y, 2) = (5, y+1)$

We know that,

Two ordered pairs are equal if and only if the corresponding first components are equal and the second components are equal. 

Therefore,

$2x-y = 5$ and $2 = y+1$

$y+1 = 2$

$y=2-1$

$y=1$

Substituting $y=1$ in $2x-y = 5$

$2x-(1) = 5$

$2x = 5+1$

$2x = 6$

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

$x = 3$.

The values of $x$ and $y$ are 3 and 1 respectively.

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Updated on: 10-Oct-2022

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