Solution Methods
Tyler uses elimination to solve 2x+3y=7 , -2x+y=1. Why was this a good method of solving?
The x's are equal opposites, 2 and -2.
y=8 , x=4
Graph to find the point of intersection
(4,8)
y=8 , 4x+2y=20
Solve for x
x=1
4x+3y=5 , -4x+y=3
Solve for y
y=2
What is the name of your student teacher (me)?
Ms. Adams
Stephanie wants to graph y=3x+2 and y=8x-7 in order to solve the system. Why is this a good method of solving?
Both equations are already in slope-intercept form, y=mx+b, so they are ready to be graphed.
y=2x-3 , y=-3x+2
Graph to find the point of intersection
(1,-1)
y=3x , y=5x+4
Solve for x
x=-2
-3x-3y=12 , -9x+3y=-24
Solve for x
x=1
Which method of solving did we focus on first?
Graphing
x=3y-7 , 2x+5y=12
Pick the best method of solving for the system above. Explain why you chose the one you did.
Substitution. Neither equation is ready to be graphed, there are not equal opposites.
y=-x-2 , y=4x+3
Graph to find the point of intersection
(-1,-1)
y=-2x , 3x+y=4
Solve for x and y
x=4 , y=-8
x+y=2 , x-y=10
Solve for x and y
x=6 , y=-4
What unit did the class work on before moving to finding solutions for systems of equations?
Measures of Central Tendency AND/OR Mean, Median, and Mode
y=5x-6 , y=1/2x-4
Pick the best method of solving for the system above. Explain why you chose the one you did.
Graphing. Both equations are already in slope-intercept form.
y=-2x+2 , y=-2x-2
Graph to find the point of intersection
No solution
y=5x-7 , -3x-2y=-12
Solve for x and y
x=2 , y=3
5x+4y=1 , -4y+3x=-1
Solve for x and y
x=0 , y=1/4
When full, how many students are in this class?
4th: 14
5th: 13
5x-2y=12 , 9y-5x=3
Pick the best method of solving for the system above. Explain why you chose the one you did.
Elimination. While not yet "lined up," the X's have equal opposites.
y=-1/2x-2 , y=-3/2x+2
Graph to find the point of intersection
(4,-4)
2x-3y=-1 , x=y+1
Solve for x and y
x=4 , y=3
3x+2y=18 , x+2y=14
Solve for x and y
x=2 , y=6
What was the first full topic that I taught? (Hint: it's the quiz that you're allowed to redo)
Parallel and Perpendicular Lines