A system of equations gives two rules for the same and . Their graphs cross at a point that satisfies both rules. Type each equation as written in Desmos and click the intersection to read . Then calculate the expression requested; a coordinate or a number in an equation may not be the answer.
Hints
- Hint 1
An intersection is where two lines meet. Its coordinates make both equations true, so type each equation on its own line in Desmos and click the crossing point to find .
- Hint 2
An ordered pair lists first and second. Once you read the crossing point, use both coordinates in the requested sum rather than stopping at one of them.
Step-by-step
Read the intersection in Desmos
Step 1Find the pair that satisfies both equations
Type and on separate Desmos lines. Click their intersection, the point on both lines. Desmos shows , so and .
- Step 2
Calculate the requested sum
The intersection gives you and , not automatically the answer. Add the coordinates: type on a new line. Desmos shows , so the value of is . Choice C.