The translation of ABCD to A'B'C'D' is given by (x+[?],y-[ ]).
5
B
С
4
3
2
A А
D
C'
1
В'
-5 -4 43 -2 -1 0
-1
-7
-6
1
2
3
4
-2
A'
D'

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

may i see the picture? it would a lot, xox