Question

Classify the system of equations 1/3x+y+2=0 1/2x+y-5=0 A. intersecting B. parallel C. coincident

Answer 1

A. intersecting

Explanation:

write the equations in the from of y = mx + c

Where m = slope

c = y-intercept.

1/3x + y + 2 = 0

1/3x + y = -2

y = -1/3x - 2

1/2x + y - 5 = 0

1/2x + y = 5

y = -1/2x + 5

The equations are not parallel

-1/3x - 2 = -1/2x + 5

1/2x - 1/3x = 5 + 2

1/6x = 7

x = 7× 6/1

= 42

y = -1/3×42 -2

= -14 - 2

= -16

The equations intersect at point (42,-16)

Answer 2

Answer: A. intersecting

Explanation:

1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.

2. As you can see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.

3. Therefore, the answer is the option A: Intersecting.