A system of equations asks for an ordered pair that makes both equations true. A squared signals a curved graph, so type each equation into Desmos and click where the graphs meet. Each intersection gives a solution. Checking only one equation can leave you with a pair that doesn't satisfy the system.
Hints
- Hint 1
A solution to a system makes both equations true at once. On a graph, look for an intersection, where the two graphs meet. What would a point on only one graph tell you?
- Hint 2
Desmos can graph as written, so you don't need to rearrange it. Once both equations are graphed, click each crossing and compare its ordered pair with the choices.
Step-by-step
Graph both equations in Desmos
Step 1Graph the curved equation
Type into Desmos. It draws a parabola, a U-shaped curve. Every point on it satisfies the first equation.
- Step 2
Find the points that satisfy both equations
Add on the next line. Desmos draws a line; click both places where it crosses the parabola. The intersections are and . An intersection satisfies both equations. Of those points, only is listed, so that ordered pair satisfies the system. Choice A.