Question

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

Answer 1

Mark As Brain list hdkdbdjdbx

Answer 2

Answer:

Given as (a/3 + 1, b – 2/3) = (5/3, 1/3) From the definition of equality of ordered pairs, Let us solve for a and b a/3 + 1 = 5/3 and b – 2/3 = 1/3 a/3 = 5/3 – 1 and b = 1/3 + 2/3 a/3 = (5-3)/3 and b = (1+2)/3 a/3 = 2/3 and b = 3/3 a = 2(3)/3 and b = 1 a = 2 and b = 1 ∴ Values of a and b are, a = 2 and b = 1 (ii) Given as (x + 1, 1) = (3y, y – 1) From the definition of equality of ordered pairs, Let us solve for x and y x + 1 = 3y and 1 = y – 1 x = 3y – 1 and y = 1 + 1 x = 3y – 1 and y = 2 Here, y = 2 we can substitute in x = 3y – 1 = 3(2) – 1 = 6 – 1 = 5 Hence, the values of x and y are, x = 5 and y = 2Read more on Sarthaks.com - https://www.sarthaks.com/650842/i-if-a-3-1-b-2-3-5-3-1-3-find-the-values-of-a-and-b-ii-if-x-1-1-3y-y-1-find-the-values-of-x-and-y