A system of equations gives two rules for the same and , so a solution must satisfy both equations. Graph the equations in Desmos and click their intersection, the point on both lines. Read the point as , then give only the coordinate requested. A point on one line alone may fail the other.
Hints
- Hint 1
A system of equations needs one pair that makes both equations true. On a graph, where would the two lines meet if they share that pair?
- Hint 2
The intersection is the point the lines share. Type each equation into Desmos as written, then click where they meet instead of guessing from the grid.
Step-by-step
Graph the system in Desmos
Step 1Graph both equations
Type and on separate Desmos lines. A system needs a pair that satisfies both equations, so look for where the lines cross, not a point on only one line.
- Step 2
Read the requested coordinate
Click the intersection, the point shared by both lines. Desmos shows . In , the first coordinate gives . The question asks for , so its value is . Choice C.