A system of linear equations gives two rules that the same and must satisfy. Graph both equations in Desmos; the lines’ intersection is the pair that works in both. You can type the equations as written, without solving for first. Watch the coordinate order: comes before .
Hints
- Hint 1
A solution to a system makes both equations true at the same time. On a graph, where must the two lines meet for one pair of coordinates to belong to both?
- Hint 2
Graph each equation as written on its own Desmos line. Click the intersection, not a nearby grid square. An ordered pair lists first and second.
Step-by-step
Graph both equations
Step 1Graph the two lines
Type and on separate Desmos lines. Desmos graphs both equations as lines. Their intersection, where they cross, makes both equations true.
- Step 2
Read the ordered pair
Click the intersection. Desmos shows . In an ordered pair , the first coordinate is and the second is , so and . The pair that satisfies the system is . Choice D.