Problem: what is the answer to this?
9x+2y=26 1.5x-2y=13
using the substitution method
1) 9x + 2y = 26
2) 1.5x - 2y = 13
Using equation 2,
1.5x - 2y = 13
-2y = -1.5x + 13
2y = 1.5x - 13
Substitute that in equation 1.
9x + 2y = 26
9x + (1.5x - 13) = 26
9x + 1.5x - 13 + 13 = 26 + 13
10.5x = 39
10.5x / 10.5 = 39 / 10.5
x = 3.7142857....
9x + 2y = 26
9(3.7142857....) + 2y = 26
(33.42857148257....) + 2y = 26
2y = 26 - 33.42857148257....
2y = -7.42857142857....
y = -3.7142857....
Check it.
1.5x - 2y = 13
1.5(3.7142857....) - 2(-3.7142857....) = 13
5.57142857142857.... + 7.42857142857.... = 13
13 = 13
Answer: x = 3.7142857...., y = -3.7142857....
.... means repeating decimal