A system of linear equations gives two equations with the same and . Graph each equation as written in Desmos, then click their intersection, the point on both lines. Read that point in order: comes first. A point on only one line doesn't solve the system.
Hints
- Hint 1
Each equation graphs as a line. A solution to a system must make both equations true. Where would you look for a point that belongs to both lines?
- Hint 2
Type each equation as written on its own Desmos line. One line contains many points, so don't pick a point until you can see where the two lines cross.
Step-by-step
Click the intersection in Desmos
Step 1Graph the first equation
Type into Desmos. It draws one line. Every point on that line makes the first equation true, but you still need a point that works in the second equation.
- Step 2
Graph the second equation
On a second Desmos line, type without rearranging it. Desmos draws another line. The lines cross once, so one point makes both equations true.
- Step 3
Read the solution
Click the intersection, where the lines cross. Desmos labels it : the first coordinate is , and the second is . A system's solution must lie on both lines. So the solution is . Choice C.