Final answer:
To find an ordered pair (x, y) for the equation 3x+y=7, one can set x to zero and solve for y, which gives the ordered pair (0, 7). This represents one of the infinite solutions to this linear equation.
Step-by-step explanation:
The student's question involves finding an ordered pair (x, y) that satisfies the equation 3x+y=7.
To find an ordered pair, you can choose any value for x and solve for y, or vice versa.
Let's set x to zero and solve for y.
If x = 0, then:
3(0) + y = 7
0 + y = 7
y = 7
Therefore, the ordered pair that fits this equation when x is zero is (0, 7).
This is just one example of an infinite number of ordered pairs that would satisfy this linear equation.