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PLEASE HELP ASAP!!

- Solve the system of linear equations by graphing.

y = -
image


A) -3, 1/2

B) 1/2, 3

C) 1/2, -3

D) 3, 1/2

User Nik Kober
by
7.5k points

2 Answers

1 vote

ANSWER WITH EXPLANATION:

To solve the system of linear equations by graphing, we need to plot the lines represented by the equations on the same coordinate plane and find the point of intersection.

  • The first equation, y = -1/2x+2, has a y-intercept of 2 and a slope of -1/2. We can plot this line by starting at the y-intercept and moving down 1 unit for every 2 units we move to the right.

  • The second equation, y = 2/1x-1, has a y-intercept of -1 and a slope of 2/1. We can plot this line by starting at the y-intercept and moving up 2 units for every 1 unit we move to the right.

|

3 | .

| \

2 | \

| \

1 | . \

| \

0 |_____________

0 1 2 3 4

  • The point where the two lines intersect is approximately (1/2, 3/1).

Therefore, the answer is (B) 1/2, 3.

User Raja Khoury
by
7.9k points
3 votes

Answer:

the answer is B) 1/2, 3.

Explanation:

To solve the system of linear equations by graphing, we need to graph both lines and find the point where they intersect. This point will be the solution to the system.

The equation y = -1/2x+2 has a y-intercept of 2 and a slope of -1/2. We can plot this on a graph by starting at the y-intercept (0, 2) and then going down 1 unit and to the right 2 units to get another point on the line. We can then draw a straight line through these two points.

The equation y=1/2x-1 has a y-intercept of -1 and a slope of 1/2. We can plot this on the same graph by starting at the y-intercept (0, -1) and then going up 1 unit and to the right 2 units to get another point on the line. We can then draw a straight line through these two points.

The point where these two lines intersect is the solution to the system of equations. From the graph, we can see that this point is approximately (1/2, 3).

the answer is B) 1/2, 3.

User Marcolopes
by
7.3k points