Fractions and parentheses with on both sides signal a linear equation. Graph each side in Desmos, then find where the two lines meet: that’s where both sides have the same value. Read the -coordinate, not the height of the meeting point. Keep the parentheses when typing, or you’ll graph a different equation.
Hints
- Hint 1
A solution is a value of that makes both sides equal. Graph each whole side as its own line. Where would the two lines have the same value?
- Hint 2
The intersection is the point where the graphs meet. Its first coordinate is ; its second coordinate is the value both sides share. Which coordinate does the question ask for?
Step-by-step
Graph both sides in Desmos
Step 1Compare the two sides
Type each side as its own line. Desmos shows two straight lines, with the left side below the right side near . Keep and in parentheses: each fraction multiplies the whole expression inside.
- Step 2
Read where the lines meet
Move the graph left and click the intersection. Desmos shows . The first coordinate is the that makes both sides equal; is their shared value, not the requested . So the solution is . Choice C.