Find all solutions of the systems of equations below using any method. 2x-4y=-1 ; 3x-6y=4

no solution

Step-by-step explanation:

given equation

2 x - 4 y = -1...................(1)

3 x - 6 y = 4...................(2)

now using substitution method

substituting value of x from equation 2 in equation(1)

3 x - 6 y = 4

3 x = 4 + 6 y

putting value in equation 1

by solving this term of y get cancel.

so,

when we look at the given equation

the condition of no solution

hence, the condition of no solution follows

so, there will no solution to the given equation.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50