First graph option: A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x-axis at 6. The other line passes through the y axis at negative 3 and the x-axis at 1.5. The lines intersect at point 3 commas 3.
Step-by-step explanation:
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
