Home
Class 12
MATHS
y=x^2-4x+4 y=4-x If the ordered pair...

`y=x^2-4x+4`
y=4-x
If the ordered pair (x, y) satisfies the system of equations above, what is one possible value of x ?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the system of equations given by \( y = x^2 - 4x + 4 \) and \( y = 4 - x \), we will follow these steps: 1. **Set the equations equal to each other**: Since both equations equal \( y \), we can set them equal to each other: \[ x^2 - 4x + 4 = 4 - x \] 2. **Rearrange the equation**: Move all terms to one side of the equation to set it to zero: \[ x^2 - 4x + 4 - 4 + x = 0 \] Simplifying this gives: \[ x^2 - 3x = 0 \] 3. **Factor the quadratic equation**: Factor out the common term \( x \): \[ x(x - 3) = 0 \] 4. **Set each factor to zero**: This gives us two possible solutions: \[ x = 0 \quad \text{or} \quad x - 3 = 0 \implies x = 3 \] 5. **Conclusion**: One possible value of \( x \) is \( 0 \) or \( 3 \).

To solve the system of equations given by \( y = x^2 - 4x + 4 \) and \( y = 4 - x \), we will follow these steps: 1. **Set the equations equal to each other**: Since both equations equal \( y \), we can set them equal to each other: \[ x^2 - 4x + 4 = 4 - x \] 2. **Rearrange the equation**: Move all terms to one side of the equation to set it to zero: ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

x+y=-6 y-4x=4 If the ordered pair (x, y) satisfies the system of equations shown above, what is the value of xy?

y=(1)/(5)x+4 y=(3)/(7)x-4 If the ordered pair (x, y) satisfies the system of equations above, what is the value of y?

Knowledge Check

  • (5)/(8)x+(7)/(2)y=(3)/(2) (1)/(6)x-(2)/(3)y=1 If the ordered pair (x, y) satisfies the system of equations above, what is the sum of the values of x and y?

    A
    `(5)/(24)`
    B
    `(5)/(2)`
    C
    `(29)/(8)`
    D
    `(33)/(8)`
  • x+y=29 x+2y=12 If the ordered pair (x, y) is the solution to the system of equations above, what is the value of y?

    A
    `-17`
    B
    `12`
    C
    `46`
    D
    `75`
  • 3x-y/3=21 x=y+7 Which ordered pair (x,y) satisfies the system of equations shown above?

    A
    (0,-7)
    B
    (4,27)
    C
    (7,0)
    D
    (9,-16)
  • Similar Questions

    Explore conceptually related problems

    x=y-3 x/2+2y=6 Which ordered pair (x, y) satisfies the system of equations shown above?

    If (x,y) is a solution to the system of equations above, what is the value of x ^(2) ?

    -x+y=-3.5 x+3y=9.5 If (x, y) satisfies the system of equations above, what is the value of y ?

    x+y=0 3x-2y=10 Which of the following ordered pairs (x y) satisfies the system of equations above?

    4x + 2 = 4 If x satisfies the equation above, what is the value of 2x + 1 ?