In a system, the solution must satisfy both equations. If one equation already gives , its graph fixes the -coordinate. Graph both equations in Desmos and click their intersection. Read the coordinate the question asks for: the first number in the point is , not automatically your answer.
Hints
- Hint 1
A system is two equations that must hold at the same time. On a graph, its solution is where the graphs meet. What kind of line does draw?
- Hint 2
An ordered pair lists first and second. Click where the graphs meet, then use the second coordinate, since the question asks for .
Step-by-step
Graph and read the intersection
Step 1Graph the fixed x-coordinate
Type in Desmos. It draws a vertical line: every point on it has an -coordinate of . The solution must be on this line and on the graph of the other equation.
- Step 2
Read the y-coordinate
Add and click the intersection, where both equations hold. Desmos labels the point . In the ordered pair , is the second coordinate, so the value of is . Choice B.