S. 2x - 6 = x + 8
+ 6 + 6
2x = x + 14
-x -x
x = 14
y = (14) + 8
y = 22
(14 , 22)
I. 2x - 5y = 16
-2x + 20y = -16
15y = 0
/15 /15
y = 0
x - 10(0) = 8
x = 8
(8 , 0)
F. 10x + 6y = -4
2x - 6y = -8
12x = -12
/12 /12
x = -1
2(-1) - 6y = -8
-2 - 6y = -8
+2 +2
-6y = -6
/-6 /-6
y = 1
(-1 , 1)
N. 24x - 3y = 15
2x + 3y = 11
26x = 26
/26 /26
x = 1
2(1) + 3y = 11
2 + 3y = 11
-2 -2
3y = 9
/3 /3
y = 3
(1 , 3)
T. 3x - 2y = -2
6x + 2y = 2
9x = 0
/9 /9
x = 0
-3(0) + 2y = 2
2y = 2
/2 /2
y = 1
(0 , 1)
O. -8x - 4y = 6
5x + 4y = -3
3x = -3
/3 /3
x = -1
-4(-1) - 2y = 3
4 - 2y = 3
-4 -4
-2y = -1
/-2 /-2
y = 1/2
(-1 , 1/2)
I. 8x - 9 = -2x - 4
+2x +2x
10x - 9 = -4
+9 +9
10x = 5
/10 /10
x = 1/2
y = -2(1/2) - 4
y = -1 - 4
y = -5
(1/2 , -5)
D. -6x - 4 = -3x + 5
+3x +3x
-3x - 4 = 5
+4 +4
-3x = 9
/-3 /-3
x = -3
y= -3(-3) + 5
y = 9 + 5
y = 14
(-3 , 14)
S. -9 = -3x - 3y
8 = 4x + 3y
-1 = x
3 = -1 + y
+1 +1
4 = y
(-1 , 4)
R. -5x - 5y = 25
5x - 4y = 2
-9y = 27
/-9 /-9
y = 3
-x - (-3) = 5
-x + 3 = 5
-3 -3
-x = 2
/-1 /-1
x = -2
(-2 , -3)
A. 8y + 3 = 3x
- 3 - 3
8y = 3x - 3
-3x -3x
-3x + 8y = -3
-3x + 8y = -3
Same equation = infinite solutions
K. 8x - 6y = -4
3x + 6y = 4
11x = 0
/11 /11
x = 0
4(0) - 3y = -2
-3y = -2
/-3 /-3
y = 2/3
(0 , 2/3)
T. -5x - 8y = 0
12x + 8y = 56
7x = 56
/7 /7
x = 8
3(8) + 2y = 14
24 + 2y = 14
-24 -24
2y = -10
/2 /2
y = -5
(8 , -5)
