A linear-nonlinear system pairs a line with a curved graph, often signaled by squared variables. Graph both equations as written in Desmos and click their intersections: each point satisfies both equations. Read the coordinate the question asks for, not the other coordinate. A value that works in only one equation isn't a solution to the system.
Hints
- Hint 1
An intersection is a point two graphs share, so its coordinates satisfy both equations. The sum equation draws a line, while the squared equation draws a circle. Where do those graphs meet?
- Hint 2
Each point is written , with first. A line and a circle can meet at two points, so check both intersections before choosing one possible first coordinate.
Step-by-step
Graph both equations
Step 1Find the points shared by both graphs
Type and on separate lines in Desmos. You’ll see a line and a circle, a round curve, crossing twice. A solution must satisfy both equations, so look where the graphs cross, not at a point on only one graph.
- Step 2
Read a possible x-coordinate
Click both crossings. Desmos shows and . In , is the first coordinate, so the point gives . The question asks for one possible value of . Choice A.