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Find an ordered pair (x, y) that is a solution to the equation 4x + y = 1

2 Answers

2 votes

Final answer:

To find an ordered pair (x, y) that is a solution to the equation 4x + y = 1, choose a value for x, solve for y, and form the ordered pair. The pair (0,1) is a solution to the given equation.

Step-by-step explanation:

  • To find an ordered pair (x, y) that is a solution to the equation 4x + y = 1, we can choose any value for x and solve for y.
  • Let's choose x = 0 for simplicity.
  • Plugging in x = 0 into the equation, we get 4(0) + y = 1.
  • When solving for y, we find that y = 1.

Therefore, the ordered pair (x, y) that is a solution to the equation 4x + y = 1 is (0, 1).

User Karruma
by
5.0k points
1 vote

Answer:

(0,1)

Step-by-step explanation:

There are infinite number of (x,y) pairs in a line, so it should be easy to use any value for one of the coordinates (x or y) and find what the other coordinate should be. We can use a simple value that would make our solving easy, for example x = 0. We use this value to replace x in the equation of the line, and solve for y:


4x+y=1\\4(0)+y=1\\0+y=1\\y=1

Therefore the pair (0,1) is a solution for the given equation.

User Kai Mechel
by
5.4k points
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