| I presume you have something like:
2x + 3y = 13
6x + 4y = 24
Solve x and y. You need to cancel one of the unknowns..first multiply all terms in equation 1 by 3. So....
2x + 3y = 13 becomes 6x +9y = 39
next subtract equation 1 (new) from equation 2. So....
6x + 9y = 39 (equation 1 new)
- 6x + 4y = 24 (equation 2)
_____________
5y = 15
Next divide both sides by 5 to give y.....
y = 15/5
y = 3
So now you know y, substitute y into equation 1.
2x + 3y = 13, which gives 2x + 3*3 = 13
2x + 9 = 13 (subtract 9 from both sides)
2x = 13-9
2x = 4 (divide both sides by 2)
x = 2
To check:
Sustitute the values for x & y into equation 2.
6x + 4y = 24
gives (6*2) + (4*3) = 24
12 + 12 = 24
Should be able to work out all sorts now. Remeber when multiplying 2 negative values the result is positive! |