Explanations
Graphing.
Plotting each linear equation on a graph. Where they intercept is the solution.
y=x
y=-2x+3
What is 1,1?
y=1/2x
y=-x+3
What is 2,1?
y=2x-2
y=-1/3x-2
What is 0,-2?
y=2x
y=2x
What is Infinite Solutions?
Elimination.
When you add two equations together.
y+3=x-2
y=-x+3
What is 4,-1?
y-3=x-2
2y=-4x+8
What is 1,2?
y=1/2x-2
y=-x+7
y=4x-4
2y=8x+2
What is No Solution?
Infinite Solutions.
When the lines are the same.
3y+x=3
y-1/2x=6
What is -6,3?
2y+5x=3
1/2y-1/2x=6
What is -3,9?
2y+3/2x=-8
-4y+x=0
What is -4,-1?
1/2y=3x+2
2y=12x+8
What is Infinite Solutions?
When the lines are parallel.
1/3y+2x=x-9
-1/2y+3x+9=y-3
What is -7,-6?
3y+7x=3x+4
2y-1/2x-10=4y-3
What is 6,-5?
5y+3/2x=3x-7y+12
y-x=y
What is 0,1?
4y-2x=6x+4
6y-x=11x+9
What is No Solution?
Substitution.
When you replace one variable with what it equals.
-16y=22+6x
-11y-4x=15
What is -1,-1?
-16+20x-8y=0
36=-18y-22x
What is 0,-2?
-5/7-11/7x=-y
2y=7+5x
What is -3,-4?
This is a free question because I've made like 80 of the things. Simply write "Thanks" and you get the points.
Thanks.