Solve the system of linear equations by graphing.

Question

Quizplus · Accepted Answer

In this system, we have two equations:
-2x + y = 3
x + 2y = 6
To graph these equations, we can start by finding the intercepts of each line:
For -2x + y = 3:
When x = 0, y = 3
When y = 0, -2x + 0 = 3 --> x = -3/(-2) = 3/2
So the intercepts are (0,3) and (3/2,0)
For x + 2y = 6:
When x = 0, y = 3
When y = 0, x + 0 = 6 --> x = 6
So the intercepts are (0,3) and (6,0)
We can plot these intercepts and draw the lines:
{{{ graph( 300, 200, -4, 8, -2, 6, 2*x+3, (6-x)/2) }}}
The lines intersect at the point (2,1), which is the solution to the system. Thus, the correct choice is C.

Solve the System of Linear Equations by Graphing