Directions: Given are pairs of linear equations in two variables, values of slopes
and y-intercepts, complete the table below by identifying the type of system and
the number of solutions.
Given Equation
Slope
Y-
intercept
Type of System
(consistent independent, consistent
dependent, or inconsistent)
No. of
Solution/s
(one, none, or
infinite)
13
-3
5
-2
-2
1) x+y = 13
X-y = 3
2) x+y = 5
x+y=-4
3) x-y = 2
4x-4y = 8
4) x-y = 9
2x+y = 6
5) x+2y = 4
X-2y = -4
6) x+y=7
2x+2y = -7
7) 3x = -6y - 1
x+2y = -1
8) x+y = 1
2x-2y = 8
9) 2x = y+3
2x-y-3 = 0
10) y = -2x
2y-x=4
1) x+y=1
3x+5y = 15
2) 3x-2y = 4
6x-4y = 8
- 1
1
1
1
1
1
1
-2
-1/2
1/2
-1
-1
-1/2
-1/2
-1
1
6
2
2
7
-7/2
-1/6
-1/2
1
2
2
-2
1/2
-3
0
2
1
3
-2
-2
-3/5
3/2
3/2​