Question

Solve the following systems of equations graphically. Please state your answer as an ordered pair (x,y).

x + y = 1
y = (2/3)x - 4
A) -1,2
B) 1,-2
C) 2,1
D) -2,-1

Answer 1

To solve the system of equations graphically, plot the two lines represented by the equations and find the point where they intersect. The answer is (-1, 2).

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two lines represented by the equations and find the point where they intersect.

The first equation is x + y = 1. We can rearrange it to y = -x + 1. The slope of this line is -1 and the y-intercept is 1.

The second equation is y = (2/3)x - 4. The slope of this line is 2/3 and the y-intercept is -4.

By graphing these two lines, we can see that they intersect at the point (-1, 2). Therefore, the answer is (A) -1, 2.