Question

If (x+3,5)=(2,2-y), then find the value of x and y​

Answer 1

Answer:

The value of $x = -1$ and $y = -3.$

Step-by-step explanation:

• Concept used :

Let $(x_{1}, y_{1} )$ and $(x_{2}, y_{2} )$ be two equal coordinates then in such case ,

$x-coordinate$ of both points will be equal and similarly $y-coordinate$ of both points will be equal.

Here, $x_{1} = x+3$ and $y_{1} =5$

        $x_{2} = 2$ and $y_{2} = 2-y$

• By using concept of equality:

we can say that,

$x_{1} = x_{2}$ and $y_{1}= y_{2}$

• By equating $x-coordinates$ of both points, we get:

                             $x+3 = 2$

                              $x = 2-3$

                                $x =-1$  

• By equating $y-coordinates$ of both points, we get:

                              $5 = 2-y$

                             $y = 2-5$

                               $y=-3$

Therefore, the value of $x = -1$ and $y = -3.$

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Answer 2

Answer:

-1 and -3 are the required value of x and y.

Step-by-step explanation:

Explanation:

Given that, (x + 3, 5) = (2 , 2-y)

• As we know that, an ordered pair (a, b) is a pair of objects in mathematics. The pair's order of items matters because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b.

• If the matching first and second components of two ordered pairs are identical, then the pairs are said to be equal.

• Consider the following two ordered pairs: (x,y). Only if both u and v are equal are the two ordered pairs equal.

Step 1:

By the definition of equality of ordered pair

x + 3 = 2

⇒ x = 2 -3 = -1

So, the value of x = -1

And 5 = 2 -y

⇒ y = 2 -5 = -3

Final answer:

Hence, -1 and -3 are the required value of x and y.

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