Consistent
A system with one solution.
What is the solutions to the equations below
10x + 7y = 49
10y - x = 70
(0,7)
Two lines that Intersect mean that there is no solutions
TRUE OR FALSE
FALSE
7x + 3y = 58
6x + 3y = 51
OR
Senior=7
Student=3
Solution to a equation
ANY set of values that makes the equation true
What is the solutions to the equation below
5x + 2y = 48
3x + 2y = 32
(8, 0)
7x + 2y = 24
16x + 4y =60
(6, -4)
Unlimited solutions that satisfy both equation
Substitution
The act of replacing a variable with a number
What is the solutions to the equation below
2x + 2y = 4
5y - 3x = 6
1/2, 3/2
If a system of equations has no solution, it means the lines are parallel.
TRUE OR FALSE
TRUE
15r + 6i = 159
2r + 16i = 82
OR
rb=9
I=4
Solution to a system
A point (x, y) that makes both equations true.
What is the solution to the equations below
5x + 7y = -25
11x + 6y = -8
(2, -5)
A system of linear equations with fewer equations than variables must have infinitely many solutions
TRUE OR FALSE
FALSE
Inconsistent
A system with no solution
Linear Equation
An equation that when graphed forms a straight line.
What is the solution to the equations below
x + y = 1
x + 3y = 9
(9, 0)
7x + 8y =1
-6x - 4y = -18
56/5 , 241/20
A consistent system of linear equations has at least one solution
TRUE OR FALSE
True