Kx - 3y = 4
4x - 5y = 7
in the system of equations above, k is a constant
and y are variables. for what value of k will
che sistem of equations have no solution?

k=12/5=2.4

Step-by-step explanation:

1. Let's get rid of the variable y

Multiply the first equation by 5 and the second by 3

5kx-15y=20

12x-15y=60

Now subtract from equation(2)/equation(1) -> 12x-5kx=40

x(12-5k)=40 This equation is always solvable except if 12-5k=0, and this happens if k=12/5=2.4

stop cheating

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.