Substitution
What is the first step in solving the system of equations using substitution?
Isolate one variable in one equation.
What is the elimination method intended to do?
Eliminate one variable by adding or subtracting equations.
What is the first step in graphing a system of equations?
Convert each equation to slope-intercept form.
What is the value of x in the equation 7x+3=24?
3
Why was the equal sign so humble?
Because it realized it wasn't less than or greater than anyone else.
Solve the system using substitution:
y=2x+3
3x+y=12
(3,9)
Solve using elimination.
2x+3y=6
4x-y=5
(2,0)
Explain how to find the solution of a system of equations graphically.
The point where the two lines intersect represents the solution.
Simplify the expression 3(x+4)−2(x−1)
x+14
What did the zero say to the eight?
Nice belt!
Explain how you would use substitution to solve the system:
x+2y=10
3x-y=5
Isolate x or y, then substitute into the other equation.
Why might the elimination method be preferred over substitution?
It can be faster when coefficients line up nicely.
How do you determine if a system has no solution graphically?
The lines are parallel
What is the point slope formula?
y-y1=m(x-x1)
Why do plants hate math?
Because it gives them square roots!
What is the solution to the system?
y=5x-2
2x+3y=6
(2,8)
Use elimination to solve.
5x+2y=20
3x+4y=18
(2,5)
Graph the equations. What is the intersect point?
y=x+1
y=-x+4
(1,2)
Find the square root of 76 without a calculator
8.71 ish
Why did the student wear glasses in math class?
To improve di-vision!
Describe a situation where substitution is preferred over elimination.
When one equation is easily solvable for one variable.
When might you have to multiply an equation in the elimination method?
To align the coefficients of one variable.
Graph and find a solution
3x-y=7
x-2y=4
(2,-1)
Write this in slope intercept form:
16x+9y=40
y=-16/9x+40/9
What do you call a number that can’t keep still?
A roamin’ numeral!