What does the solution of a system of equations tell you about 2 lines?
Tells you whether they intersect once, they are parallel or the same line
100
What is the solution?
y = -1 AND
y = (-5/2)x + 4
(2,-1)
100
Solve by substitution.
y= 12-3x and
y=2x-3
(3,3)
100
Solve the following system by elimination
x+3y=-7 and -x+2y=-8
(2,-3)
100
y = -3x + 5 AND
5x - 4y = -3
(1,2)
200
Is the following ordered pair a solution to the given equations? (7,8)
7x+3y=24 AND
3x+5y=14
No.
200
Find the solution for the following equations.
y=x-1 AND
y=2x+2
(-3, -4)
200
Solve the following equations by substitution.
3x-2y=-3 AND y=7-4x
(1,3)
200
Solve the Following system by elimination.
x+3y=-4 and 2x-4y=32
(8,-4)
200
-3x + 3y = 4 AND
-x + y = 3
no solution
300
Is the following ordered pair a solution to the equations?
15x+27y=48 AND
5x+9y=16
(1.4,1)
Bonus: 300 points
How many solution(s) do the above equations have?
Yes
Bonus Answer: Infinitely many solutions
300
What is the solution to the following equations? Draw a graph.
y = -2x + 2 AND
y = -2x - 2
no solution
300
Solve the equations using substitution
4y-2x=-2 and x+3y=-4
(-1,-1)
300
Solve the systems of equation using elimination.
-10x+y=0 and 5x+3y=-7
(-0.2,-2)
300
-2x + 6y = 6 AND
-7x + 8y = -5
(3,2)
400
Is the ordered pair a solution to the system?
(1,3)
2x - 3y = -7 AND
-5x + 3y = 4
Yes
400
y = (1/3)x - 3 AND
y = -x + 1
(3,-2)
400
Find the solution of the equations by substitution.
3y+6x=9 and
2(y+3)=-4x
no solution
400
Solve using elimination (although another way might be easier)
x+16.5=-0.75y and
y=0.5x
(-12,-6)
400
2x + 8y = 6 AND
-5x - 20y = -15
infinite solutions
500
identify the system of equations:
3x + 2y = 7 AND
-4x - 3y = 10
a) inconsistent - no solutions
b) independent - one solution
c) dependent - infinitely many solutions
What is b) independent - one solution
500
y = 3x + 1 AND
-3y = -9x - 3
infinite solutions
500
Classify the system and find the solution, if there is one.
3x-13=2y and
-3y=2x