100 POINTS JUST ANSWER THIS PLEASE
What values of w and x make △GHI≅△STR?

x=26

w=28

Step-by-step explanation:

If △GHI≅△STR

Then TS = HG, so

-25x+27w-63 = -x +w +41  

and HI = RT

w + x -6 = -15w + 18x

Simplifying the equations

w + x -6 = -15w + 18x

Add 15w to each side

w+15w + x -6 = -15w+15w + 18x

16w +x -6 = 18x

Subtract x from each side

16w +x-x -6 = 18x-x

16w-6 = 17x

Simplifying the second equation

-25x+27w-63 = -x +w +41  

Add 25x to each side

-25x+25x+27w-63 = -x+25x +w +41  

27w-63 = 24x+w+41

Subtract w from each side

27w-w -63 = 24x+41

26w -63 = 24x+41

Subtract 41 from each side

26w -63-41 = 24x

26w -104 = 24x

Now Multiply each equation so we can eliminate x

26w -104 = 24x

16w-6 = 17x

Multiply the first by 17 and the second by -24

442w -1768 = 408x

-384w +144 = -408x

58w -1624=0

58w = 1624

Divide by 58

58w/58 = 1624/58

w= 28

Now find x

16w -6 =17x

16*28 -6 =17x

442=17x

442/17 =x

26=x

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