Find all solutions for 2y - 4x =2 y = 2x + 1 site: socratic. org

All real numbers would be the solution

Step-by-step explanation:

2y - 4x =2 and y = 2x + 1

We solve but placing the value of y into the first equation:

2(2x + 1) - 4x = 2

Next we distribute the 2 through the parenthesis:

4x + 2 - 4x = 2

Now we gather like terms:

2 = 2 ( note the 4x and - 4x cancel out)

Since 2 =2 this tells us that all real numbers would work.

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

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