A nonlinear system has two equations sharing variables, with a squared term signaling a curved graph. Graph both equations as written in Desmos and look for their intersections: each shared point satisfies both equations. Click a crossing and read the first coordinate when the question asks for . Don’t mistake a point’s -coordinate for or assume there’s only one crossing.
Hints
- Hint 1
A solution to a system makes both equations true. On a graph, that means the point must lie on both graphs. Where do the two graphs meet?
- Hint 2
An ordered pair lists first and second. After you click an intersection, which coordinate answers the question’s request for ?
Step-by-step
Read the intersections in Desmos
Step 1Find where the graphs meet
Type and on separate lines, as written. Desmos shows a curve and a line crossing in two places. Each intersection makes both equations true.
- Step 2
Read the requested coordinate
Click the left intersection. Desmos shows . In an ordered pair , comes first, so the possible value of is . The is the -coordinate, not the requested value. Choice B.