Final answer:
The ordered pair that is a solution to the equation 2x-y=3, using y = 9 + 3x, is (-12, -27). We found x by substituting the y equation into the given equation and then solved for y by plugging the x value back into the y equation.
Step-by-step explanation:
To find an ordered pair (x,y) that is a solution to the equation 2x-y=3, we can use another equation provided, y = 9 + 3x, to solve for x. Then we can plug that x value into either equation to find the corresponding y value. Since the equation given describes a line with a y-intercept (b) of 9 and a slope (m) of 3, we can construct a table or use the graph to find a point that lies on both lines.
Let's solve:
Substitute y = 9 + 3x into 2x - y = 3:
2x - (9 + 3x) = 3
-x - 9 = 3
x = -12
Now, we find y by plugging x back into the equation y = 9 + 3x:
y = 9 + 3(-12)
y = 9 - 36
y = -27
Therefore, the ordered pair that is a solution to both equations is (-12, -27).