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If the ordered pairs (x-3 , 3y+1) and ( y+1 , x+3) are equal , find x and y​

User Or Nakash
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Answer: x=3 and y=-1

(3,-1)

Explanation:

If the ordered pairs (x-3, 3y+1) and (y+1, x+3) are equal, it means that the x-coordinates and y-coordinates of the two pairs must be equal. Therefore, we can write:

x - 3 = y + 1 (1)

3y + 1 = x + 3 (2)

We have two equations with two variables (x and y), so we can solve for them.

From equation (1), we can solve for x in terms of y:

x = y + 4

Substituting this into equation (2), we get:

3y + 1 = (y + 4) + 3

Simplifying, we get:

2y = -2

Therefore, y = -1.

Substituting this value into equation (1), we get:

x - 3 = -1 + 1

Simplifying, we get:

x - 3 = 0

Therefore, x = 3.

Hence, the values of x and y that satisfy the condition are x = 3 and y = -1.

User Ivan Naydonov
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