Substitution
12x + y = 14
12x + 13y = 13
ELIMINATION OR SUBSTITUTION
SUBSTITUTION
12x + 6y = 14
12x + 13y = 13
ELIMINATION OR SUBSTITUTION
ELIMINATION
2x + 13y = 11
-2x - 6y = 10
If we add the equations above we get
7y = 21 OR y= 3
What does x equal?
x = -14
If 3x + y = 6
Solve for the variable y
y = 6 -3x
12x + 6y = 14
12x + 13y = 13
Should we add or subtract these equations to eliminate the x Variable
Subtract
2x + 3y = 17
2x + 3y = 17
If we subtract the 2 equations above we get
0= 0
What is the solution to this system?
Infinite Solutions or All Solutions
IF y = 6 -3x
and 2x + 3y = 10
Solve for x
x = 1
3x + 4y = 14
2x +5y = 7
Multiply the top equation by 2
AND the bottom by 3
What do you get?
6x + 8y = 28
6x + 15y = 21
12x + 13y = 17
-12x - 13y = 17
If we add the 2 equations above we get
0=34
What is the solution to this system?
No Solutions