x+y=173 and 5(x)+3(y)=703 what is x and y

Solve the following system:
{x+y = 173 | (equation 1)
5 x+3 y = 703 | (equation 2)
Swap equation 1 with equation 2:
{5 x+3 y = 703 | (equation 1)
x+y = 173 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x+3 y = 703 | (equation 1)
0 x+(2 y)/5 = 162/5 | (equation 2)
Multiply equation 2 by 5/2:
{5 x+3 y = 703 | (equation 1)
0 x+y = 81 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = 460 | (equation 1)
0 x+y = 81 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 92 | (equation 1)
0 x+y = 81 | (equation 2)
Collect results:
Answer: |x = 92        and         y = 81

x+y=173  →  y = 173 - x

Substituting this into the second equarion, we have

5x + 3 [ 173 - x ]  = 703

5x + 519 - 3x  = 703   simlify and subtract 519 from both sides

2x = 184     divide both sides by 2

x = 92

And y = 173 - 92 =  81