Use the graph of 3x+y=10 to determine an additional ordered pair (x, y) that satisfies the equation. Find the ordered pair (x, y) if the x-coordinate is 3. what is the order pair?
To find an additional ordered pair, we can simply look for any point on the line. One possible way is to read off the intercepts, which can be obtained by setting x or y to zero. For example, when x=0, we get:
3(0) + y = 10
Solving for y, we have y=10, which gives us the ordered pair (0, 10).
To find the ordered pair when x=3, we can substitute x=3 into the equation and solve for y:
3(3) + y = 10
Simplifying, we have 9 + y = 10, which gives us y=1. Therefore, the ordered pair is (3, 1).