A system of equations gives two conditions that the same pair must satisfy. Graph both equations in Desmos and click their intersection, the point shared by both lines. Then read the coordinate the question asks for: is first in , not second. If the -terms are opposites, adding the equations is another quick route.
Hints
- Hint 1
A solution to a system makes both equations true at once. Each equation graphs as a line, so look for the point that lies on both lines.
- Hint 2
The intersection is where the lines cross. Click it to see the ordered pair . The first coordinate is ; which coordinate does the question ask you to enter?
Step-by-step
Approach 1: Read the intersection in Desmos
Step 1Graph the two equations
Type and on separate lines in Desmos. Each linear equation draws a line. The lines cross, and their intersection satisfies both equations because it lies on both lines.
- Step 2
Read the requested coordinate
Click the intersection. Desmos labels it . An ordered pair lists first, so , not . The value of is . Grid in 8.
Approach 2: Cancel y by adding
Step 1Add the equations
The -terms are opposites, and . In elimination, you add whole equations so one variable cancels; adding equal amounts on each side keeps the equation true. Add the equations:
Combine like terms:
- Step 2
Isolate x
The equation says twice is . Divide both sides by :
The requested value of is . Grid in 8.