y = 3x + 2
y = 8x - 3
(1 , 5)
y = 3x - 2
3x - 4y = -10
(2 , 4)
x - y = 11
2x + y = 19
(10 , -1)
−2x − 9y = −25
−4x − 9y = −23
Elimination - the Y's are the same so subtracting them will eliminate them.
3x + 9y = 6
y = 2x + 17
(-7 , 3)
y = x - 5
y = -x + 1
(3 , -2)
y = 3x + 14
2y - 6x = 28
(-3 , 5)
−6x + 5y = 1
6x + 4 y = −10
(-1 , -1)
8x + y = −16
y = 3x −5
Substitution - the 2nd equation is already isolated for y.
y = 5x + 3
y = 2x + 6
(1 , 8)
y = 5 - x
y - 3x = 25
(-5 , 10)
5x + 2y = 7
y = 8 - 4x
(3 , -4)
−4x − 2y = −12
4x + 8y = −24
(6 , -6)
−3x + 7y = −16
−9x + 5y = 16
Elimination - You can easily make the -3x a 9x and then add or subtract them
2x - 5y = 18
3x - 5y = 22
(4 , -2)
x - 2y = - 14
x + 3y = 1
(-8 , 3)
3x - 8y = 6
x - 4y = 2
(2 , 0)
5x - 2y - 21
3x - y = 12
(3, -3)
y = 6x - 9
y = 3x − 22
Graphing method - they are both in the y=mx + b form and ready to put into the calculator.
x = 3y - 8
4x + 7y = -13
(-5 , 1)
5x + 4y = -1
2x - 9y =42
x + 3y = 7
5y - 4x = -96
(19, -4)
5x + 4y = -28
3x + 10y = -13
(-6, 1/2)
x + y = 6
2x + y = 10
Why does this question work for all methods.
Substitution - an x or y can be isolated
Graphing - only the x terms needs to be moved to the right side
Elimination - Can subtract the Y's to eliminate them
3x - 2y = - 20
4x + 3y = 13
(-2 , 7)