Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1? select one: a. the system is consistent and independent. b. the system is inconsistent. c. the system has infinitely many solutions. d. the system is consistent and dependent.

Equation 1 is ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

Add both the equations

Divide both sides by 11

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)