choose a method to solve the following system of equation. Solve x+y = 500 x/100 + y/80 = 5 1/2 please show steps
Solve the following system:
{x+y = 500 | (equation 1)
x/100+y/80 = 11/2 | (equation 2)
Subtract 1/100 × (equation 1) from equation 2:
{x+y = 500 | (equation 1)
0 x+y/400 = 1/2 | (equation 2)
Multiply equation 2 by 400:
{x+y = 500 | (equation 1)
0 x+y = 200 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = 300 | (equation 1)
0 x+y = 200 | (equation 2)
Collect results:
Answer: |x = 300 and y=200
