The system of equations is
Which of the following points is the solution to the system in the -plane?
A system of equations asks for one point that makes two equations true at once. In the -plane, each linear equation draws a line, so graph both equations in Desmos and click where they cross. Read the point in order. A point that fits only one equation can still look convincing.
Hints
- Hint 1
Each equation describes a line made of points whose coordinates make that equation true. If a point sits on only one of the two lines, can it solve the whole system?
- Hint 2
Graph the equations as written on separate Desmos lines. Their intersection is the point both lines share. Read its coordinates in order, with first.
Step-by-step
Find the intersection in Desmos
Step 1Graph the first equation
Type on the first Desmos line. Desmos draws a line. Every point on it satisfies this equation, but that alone doesn't solve the whole system.
- Step 2
Read the point both lines share
Type on the next Desmos line, then click the intersection. Desmos shows . The crossing point lies on both lines, so it satisfies both equations. The first coordinate is , and the second is . The solution point is . Choice D.