A system of equations asks for numbers that work in both equations at once. A squared signals a curve, which may meet a line more than once. Graph both equations in Desmos and click their intersections: only a shared point solves both equations. If the question asks for , read the first coordinate, not an intercept of one graph alone.
Hints
- Hint 1
A solution to a system is one pair that makes both equations true. On a graph, where would you find a point that belongs to both equations?
- Hint 2
The squared makes a parabola, a U-shaped curve that can cross a line twice. Click each crossing in Desmos, then read the first coordinate of each pair .
Step-by-step
Graph both equations and read the intersections
Step 1Graph the squared equation
Type into Desmos. It draws a parabola, a U-shaped curve. A point on this curve is not yet confirmed as a solution: it must also satisfy the other equation.
- Step 2
Find the shared points and read x
Add on the next Desmos line. Click both intersections: Desmos shows and . An intersection lies on both graphs, so its coordinates satisfy both equations. The question asks for a possible -coordinate, the first number in a pair, so works. Choice C.