A system of equations gives two conditions on the same unknowns. The lines’ intersection satisfies both equations, not just one. Type each equation as written on its own line in Desmos, then click where the lines cross. Read the point as , with first; reversing the coordinates gives a different pair.
Hints
- Hint 1
A system needs one pair that makes both equations true. Each equation draws a line in Desmos. Where would a pair have to sit to belong to both lines?
- Hint 2
Click the intersection rather than estimating from the grid. An ordered pair puts the -value first and the -value second. Keep that order when you read the point.
Step-by-step
Click the intersection in Desmos
Step 1Graph both equations
Type and on separate Desmos lines, as written. Desmos draws two lines that cross. Each point on a line makes that line’s equation true, so their crossing point makes both equations true.
- Step 2
Read the ordered pair
Click the intersection. Desmos shows : the first coordinate is , and the second is . The ordered pair that satisfies the system is . Choice B.