Write a system of linear equations that has the ordered pair as its solution (1,4)

1 answer:

8 0

Since the only information given is that the order pair (1,4) is a solution of the system of linear, we are therefore having an infinite number of options.
The trivial equations would be:
x = 1
y = -4

We can write equations combining both variables as:
y = 4x
y = 3x + 1
y = 2x + 2
y = x + 3
y = -4x + 8
y = -3x + 7
y = -2x + 6
y = -x + 5

All the above can be used as linear equations of the line and would have (1,4) as a solution.
In order to define the exact line, we need at least two points, which are not given in this question.

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$The \ midpoint \ formula \ of \ the \ line \ segment \\ that \ joins \ the \ two \ points \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ is \\ given \ by \ the \ following \ Midpoint \ Formula:\\ \\ Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

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