Question

Classify the system of equations 3x+y-1=0 1/3x+y-6=0 A. intersecting B. parallel C.coincident

Answer 1

The correct option is A.

Explanation:

The given equations are

`3x+y-1=0`

`(1)/(3)x+y-6=0`

If a line is defined as

`ax+by+c=0`

then the slope of line is

`m=-(a)/(b)`

The slope of first line is

`m_1=-(3)/(1)=-3`

The slope of second line is

`m_1=-((1)/(3))/(1)=-(1)/(3)`

The slopes of lines are not same, therefore the lines are neither parallel nor coincident. The lines are intersecting each other. Option A is correct.

Answer 2

Answer: Intercepting.

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.