Question | Answer |
Determine which ordered pair is a solution
x+y=8
3x+2y=21
a- (2,4)
b- (5,3) | b (5,3) |
Determine which ordered pair is a solution
3x-y=5
x+2y=11
a- (3, 4)
b- (0, -5) | a (3, 4) |
Determine which ordered pair is a solution
2x+y=5
x+3y=5
a- (5, 0)
b- (2, 1) | b (2, 1) |
Determine the number of solutions of a system
4x+y=24
x+2y=2 | The system has one solution it is intersecting lines. |
Determine the number of solutions of a system
2x+y=0
2y=x-4x | The system has no solution and is parallel lines. |
Use the substitution method to solve the system
x+y=3
x=2y
2y+y=3 combine like terms
3y=3 divide both sides by 3
y=1 use y=1 in x=2y equation
x=2(1)
x=2 | (2, 1) |
Use the substitution method to solve the system
x+y=6
y=-3x
x+(-3x)=6 combine like terms
-2x=6 divide both sides by -2
x=-3 substitute x=-3 into y=-3x equation
y=-3(-3)
y=9 | (-3, 9) |
Solve the system by graphing
x+y=4
x-y=2 | x+y=4
substitute 0 for x
0+y=4
(0, 4)
substitute 0 for y
x+0=4
(4,0)
x-y=2
substitute 0 for x
0-y=2
(0,-2)
substitute 0 for y
x-0=2
(2,0)
The graph would intersect at (3,1)
(I am unable to put a graph in the flash cards sorry) |
Solve the system by graphing
x+y=6
-x+y=-6 | x+y=6
substitute 0 for x
0=y=6
(0,6)
substitute 0 for y
x+0=6
(6,0)
-x+y=-6
substitute 0 for x
-0+y=-6
(0,-6)
substitute 0 for y
-x+0=-6
(6,0)
The graph would intersect at (6,0)
( I am unable to put a graph into the flash cards sorry) |
Solve by substitution
y=3x+1
4y-8x=12 | 4y-8x=12 put y=3x+1 into the first equation
4(3x+1)-8x=12 distribute
12x+4-8x=12 combine like terms
4x+4=12 subtract 4 from both sides
4x=8 divide both sides by 4
x=2
put x=2 into y=3x+1
y=3(2)+1 distribute
y=6+1
y=7
(2,7) |