In a graphed system of equations, the solution is the point where both lines cross. Read its horizontal coordinate as and its vertical coordinate as , then write them in that order. A point where one line meets an axis may look important, but it isn't the solution unless the other line passes through it too.
Hints
- Hint 1
A system asks for coordinates that work for both equations. On a graph, the solution must lie on both lines. Where do the two lines cross?
- Hint 2
An ordered pair puts the horizontal coordinate first and the vertical coordinate second. At the crossing point, how far right of the -axis and how far below the -axis is the dot?
Step-by-step
Read the crossing point
Step 1Find the horizontal coordinate
No Desmos needed. Read the intersection from the given graph. The intersection lies on both lines, so its coordinates solve both equations. The marked dot is 6 units right of the -axis, so .
- Step 2
Read the vertical coordinate and write the pair
The dot is 1 unit below the -axis, so . In , comes first and comes second. The solution to the system is . Choice A.