6(x)-y=5 The difference between x and y is 40.
6(x)-y=5
x - y =40, solve for x, y
Solve the following system:
{6 x - y = 5 | (equation 1)
x - y = 40 | (equation 2)
Subtract 1/6 × (equation 1) from equation 2:
{6 x - y = 5 | (equation 1)
0 x - (5 y)/6 = 235/6 | (equation 2)
Multiply equation 2 by 6/5:
{6 x - y = 5 | (equation 1)
0 x - y = 47 | (equation 2)
Multiply equation 2 by -1:
{6 x - y = 5 | (equation 1)
0 x+y = -47 | (equation 2)
Add equation 2 to equation 1:
{6 x+0 y = -42 | (equation 1)
0 x+y = -47 | (equation 2)
Divide equation 1 by 6:
{x+0 y = -7 | (equation 1)
0 x+y = -47 | (equation 2)
Collect results:
Answer: |x = -7 and y=-47
