Vocab
Where 2 lines meet
What is the intersect?
y = -3x + 4
y + 3x = -4
What is no solution?
-3x + 4 + 3x = -4
4 = -4
x - y = 11
2x + y = 19
What is (10,-1)?
x - y = 11
2x + y = 19
3x = 30
x = 10
2(10) + y = 19
20 + y = 19
y = -1
y = x - 2
y = -2x + 7
what is (3,1)?
The reason you have to create an inverse equation for the elimination method
What is to eliminate/cancel a variable?
The number next to the variable
What is the coefficient?
y = 9x - 9
y = 9
What is (2,9)?
9 = 9x - 9
18 = 9x
x = 2
8x + y = -16
-3x + y = -5
What is (-1,-8)
-8x - y = 16
-3x + y = -5
-11x = 11
x = -1
8(-1) + y = -16
-8 + y = -16
y = -8
y = 1/2x + 5
y = -5/2x - 1
What is (-2,4)?
Where you put the 2 equations when you use a calculator to find the solution
What is y=?
A set of equations joined with a bracket
What is a system of equations?
y = 6x
y = 5x + 7
What is (7,42)?
6x = 5x + 7
x = 7
y = 6(7)
y = 42
5x + y = 9
10x - 7y = -18
What is (1,4)?
-10x - 2y = -18
10x - 7y = -18
-9y = -36
y = 4
5x + (4) = 9
5x = 5
x = 1
-6x + 4y = -12
y = -3
What is (0,-3)?
The first step of the substitution method
What is isolating the variable?
The point(s) where the equations have the same value
What is the solution(s)?
y = 1/2x + 5
y = -5/2x - 1
What is (-2,4)?
-5/2x - 1 = 1/2x + 5
-6/2x = 6
x=2
y = 1/2(-2)+5
y = 4
-3x + 7y = -16
-9x + 5y = 16
What is (-4,-4)?
9x - 21y = 48
-9x + 5y = 16
-16y = 64
y = -4
-9x + 5(-4) = 16
-9x + -20 = 16
-9x = 36
x = -4
-2x + 3y = -9
x + y = 2
What is (3,-1)?
The first step of the elimination method
What is lining the equations up in the same order?
What is the inverse?
Another word for a system of equations that has infinitely many solutions
What is coinciding?