Solve By Graphing
y = 1/3 x + 4
y = -1/3 x +2
What is (-3,3)
y=x
y =2x+2
What is (-2,-2)
x+y =-2
x-y = -4
What is (-3,1)
The sum of two numbers is 16. Their difference is 2.
What is 7 and 9
Solution of a System of Equations
What is the point where the two lines intersect?
y = -1
y = -5/4 x +4
What is (4,-1)
y - x=1
y = 4x-5
What is (2,3)
4x+5y=22
-6x+5y =-8
What is (3,2)
The difference of two numbers is 4. Their sum is 16.
What are 10 and 6?
The areas where the two shaded regions overlap.
Where is the solution for a system of inequalities?
y = 5x-2
y = -x+2
What is (-1,3)
4x-2y=4
y=4x+2
What is (-2,-6)
10x +7y =-3
8x+7y =-15
What is (6, 9)
x + 10y =-28
-x -8y =24
What is (-8 ,-2)
The first step for solving a system of equations by substitution.
What is solve one equation for one of the variables?
y =-4x+4
y = -3x+5
What is (-1,8)
y = -6x-3
6x-5y=-21
What is (-1,3)
-3x-3y = -9
5x+12y =-13
What is (7,-4)
y = -x-2
y = 2x+1
What is (1,-3)
Get both equations in standard form.
What is the step for solving a system of equations by elimination?
y=1/2x+4
y=-3x-3
What is (-2,3)
x-3y =9
x=1-y
What is (3,-2)
x + 2y =2
2x+4y=2
What is no solution?
7x-7y =-7
y = -6x +22
What is (3,4)
A system of equations has infinitely many solutions.
What happens when one equation is a multiple of the other equation in the system?