Home
Class 11
MATHS
If (2x + 3,y-1) =(3,5) , then find x and...

If (2x + 3,y-1) =(3,5) , then find x and y.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation given by the ordered pair \((2x + 3, y - 1) = (3, 5)\), we can break it down into two separate equations based on the equality of the ordered pairs. ### Step 1: Set up the equations From the equality of ordered pairs, we have: 1. \(2x + 3 = 3\) 2. \(y - 1 = 5\) ### Step 2: Solve for \(x\) Now, we will solve the first equation for \(x\): \[ 2x + 3 = 3 \] Subtract 3 from both sides: \[ 2x = 3 - 3 \] \[ 2x = 0 \] Now, divide both sides by 2: \[ x = 0 \] ### Step 3: Solve for \(y\) Next, we will solve the second equation for \(y\): \[ y - 1 = 5 \] Add 1 to both sides: \[ y = 5 + 1 \] \[ y = 6 \] ### Final Answer Thus, the values of \(x\) and \(y\) are: \[ x = 0, \quad y = 6 \] The ordered pair \((x, y)\) is \((0, 6)\). ---

To solve the equation given by the ordered pair \((2x + 3, y - 1) = (3, 5)\), we can break it down into two separate equations based on the equality of the ordered pairs. ### Step 1: Set up the equations From the equality of ordered pairs, we have: 1. \(2x + 3 = 3\) 2. \(y - 1 = 5\) ### Step 2: Solve for \(x\) ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2A|20 Videos
  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2B|14 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

If (2x+y,7)=(5,y-3) then find x and y

If ((x)/(3)+1 ,y-(2)/(3))=((5)/(3)/(1)/(3)) , then find the values of x and y.

If 3x + 5y = 21 and 2x +3y = 13 , then find the values of x and y .

If A={1,2,3,4,5} , then find the domain in the relation from A to A by R={(x,y):y=2x-1} .

((x)/(3)+1,y-(2)/(3))=((5)/(3),(1)/(3)) find the values of x and y .

If ((2x-y)/(x+2y))=(1)/(2), then find the value of ((3x-y)/(3x+y))

If 2x+3y=34 and (x+y)/(y)=(13)/(8), then find the value of 5y+7x

If X and Y are two matrices such that X+Y={:[(4,-3),(5,2)]:}andX-Y={:[(6,-5),(3,2)]:} , then find the matrices X and Y.