Determine which system below will produce infinitely many solutions. −6x + 3y = 18 4x − 3y = 6 2x + 4y = 24 6x + 12y = 36 3x − y = 14 −9x + 3y = −42 5x + 2y = 13 −x + 4y = −6

Option C is correct.

System of equation which will produce infinitely many solutions:

3x - y = 14        

-9x +3y = -42  

Step-by-step explanation:

From the options

Only equation which is infinitely many solutions is

3x - y = 14                ......[1]

-9x +3y = -42           ......[2]

For infinitely many solutions, we are looking for linearly dependent equations, which means one equation is an exact multiple or sub-multiple of the other.

Multiply [1] by -3 we get

or

-9x + 3y = -42 which is same equation as [2]

therefore. by definition of infinitely many solution,

equation 2 is -3 times(or multiple) of equation 1

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

∡ eia and ∡ kij are congruent

step-by-step explanation: