Home
Class 9
MATHS
Find the value of x and y if: (b) (1,2...

Find the value of x and y if:
(b) `(1,2y-3)=(1,7)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the values of x and y from the given coordinates. The coordinates provided are (1, 2y - 3) and (1, 7). ### Step-by-Step Solution: 1. **Identify the Coordinates:** The coordinates are given as (1, 2y - 3) and (1, 7). In coordinate form, the first value represents x and the second value represents y. 2. **Equate the x-coordinates:** Since both coordinates have the same x-value, we can write: \[ 1 = 1 \] This equation is always true, and it tells us that x does not need to be solved for this problem. 3. **Equate the y-coordinates:** Now, we equate the y-values from both coordinates: \[ 2y - 3 = 7 \] 4. **Solve for y:** To find y, we will isolate it on one side of the equation: - First, add 3 to both sides: \[ 2y - 3 + 3 = 7 + 3 \] Simplifying this gives: \[ 2y = 10 \] - Now, divide both sides by 2: \[ y = \frac{10}{2} \] Simplifying this gives: \[ y = 5 \] 5. **Conclusion:** Since there is no x-value to solve for, we conclude that: \[ x \text{ is not defined (or any value)}, \quad y = 5 \] ### Final Answer: - The value of y is 5, and x is not defined in this context.
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise EXERCISE PART (C)|12 Videos
  • CIRCLES

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE TEST|3 Videos
  • CONSTRUCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise QUESTIONS|7 Videos

Similar Questions

Explore conceptually related problems

Find the values of x and y for which [{:(2,-3),(1," "1):}][{:(x),(y):}]=[{:(1),(3):}].

Find the value of x , if [(3x+y,-y),(2y-x,3)]=[(1, 2),(-5, 3)] .

Find the values of x and y for which [{:(x,y),(3y,x):}][{:(1),(2):}]=[{:(3),(5):}].

Find the value of x,y, and z if : (i) [[3,x4,y]]=2.[[-1.5,1z,1]]

"Find the value of "(x+y)," if "(x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)

Find the value of (x+y) ,if (x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)

Find the value of ( 1/x + 1/y ) ( 1/x - 1/y ) ( 1/x^2 + 1/y^2 )

(i) x+2y=-7 and 3x-2y=-1, then find the value of x. (ii) If x+y=8 and 4y-x=2, then find the value of y. (iii) If 3x+5y=9 and 5x+3y=7, then find the value of x+y. (iv) If 3x-y=11 and x-3y=17, then find the value of x-y.