Question 124·Easy·Systems of Two Linear Equations in Two Variables
The graph of a system of two linear equations is shown.
Which choice is the solution to the system?
For graph-based systems, do not try to write equations unless you have to. The fastest method is to find where the two lines cross and then carefully read the - and -coordinates from the grid, checking the signs (above/below the -axis and left/right of the -axis).
Hints
Use the key idea for systems
The solution to the system is the point that lies on both lines.
Look for where the lines cross
Find the single point where the two lines intersect.
Read then
From the intersection point, read the -coordinate from the horizontal axis and the -coordinate from the vertical axis.
Desmos Guide
Graph each line using visible points
From the graph, choose two clear grid-intersection points on the first line and enter them into Desmos to determine the line. Repeat for the second line.
Find the intersection
Click the point where the two graphed lines intersect in Desmos and read the ordered pair shown.
Step-by-step Explanation
Find the intersection point
Locate the point where the two lines cross on the coordinate plane. That point represents the solution to the system.
Read the coordinates
From the grid, the intersection point is units to the right of the origin and unit below the -axis, so the solution is .