A system of equations can be solved by finding where its graphs intersect: each meeting point satisfies both equations. When both equations give a value for , those values must agree at an intersection. Type both equations into Desmos and click where the graphs meet. Read the -coordinate if the question asks for , rather than taking the shared -value.
Hints
- Hint 1
A solution to a system makes both equations true at once. Since each equation gives a value for , their right sides must be equal at a solution. What does that tell you about ?
- Hint 2
An intersection is a point on both graphs. Graph each equation on its own line in Desmos and click where they meet. In a point , the first number is the value of .
Step-by-step
Graph the system and read an intersection
Step 1Match the two values of y
A solution must make both equations true. At an intersection, both equations give the same . So the value from the first equation must equal from the second: . You need a number whose square is , not .
- Step 2
Read a possible x-value
Type and on separate lines in Desmos. Click both intersections; Desmos labels them and . The first coordinate is , so both and work. The question asks for one possible value of , so choose . Choice D.