systems of equations solving by graphing systems of equations one way to solve equations that...
DESCRIPTION
Systems of Equations One way to solve equations that involve two different variables is by graphing the lines of both equations on a coordinate plane. If the two lines cross the solution for both variables is the coordinate of the point where they intersect.TRANSCRIPT
Systems of EquationsSolving by Graphing
Systems of Equations
• One way to solve equations that involve two different variables is by graphing the lines of both equations on a coordinate plane.
• If the two lines cross the solution for both variables is the coordinate of the point where they intersect.
y = 2x + 0 & y = -1x + 3
Slope = 2/1y-intercept= 0
Up 2 and
right 1
y-intercept= +3
Slope = 1/-1
Up 1 and
left 1The solution is the point they cross at (1,2)
(1,2)
y = x - 3 & y = -3x + 1
Slope = 1/1y-intercept= -3
y-intercept= +1
Slope = 3/-1
The solution is the point they cross at (1,-2)
Graph y = x -3 y = x + 2
Solution= none
NUMBER OF SOLUTIONS OF A LINEAR SYSTEM
IDENTIFYING THE NUMBER OF SOLUTIONS
y
x
y
x
Lines intersectone solution
Lines are parallelno solution
y
x
Lines coincideinfinitely many solutions
Name the Solution
Name the Solution
Name the Solution
Systems of EquationsSolving by Graphing