Recall that a dilation with center (0, 0) and scale factor maps
onto
.
Now, triangle ADE is formed by
Whereas triangle ABC is formed by
In other words, the coordinates of B and C can be obtained by multiplying by 2 the coordinates of D and E.
This means that you get ABC from ADE by dilating with center (0,0) and scale factor 2.
Substitute the given value of x into the first equation
To solve for x distribute 3 though the parentheses
Collect like terms
Move the constant to the right-hand side and change its sign
Add the numbers
Divide both sides of the equation by 13
Now, Substitute the given value of x into the second equation
Plug in the value of x in the equation i.e. 1
Any number multiplied by 1 results in number itself
Calculate the difference
The possible solution of the system is the ordered pair (x,y)