Name the solution
A system with two linear equations with the same slope and different y-intercepts are graphed what is there solution
No solution, they will never intersect.
Y=mx + b is known as what form of equation?
Slope Intercept
y=2x +1
y=5x-1
The following lines are graphed to identify their point of intersection. What method is being used to identify their solution?
Graphing
y=x-1
y=x-1
Infinite solutions, same line
y=2x+4
y=x-1
substitution
A system of two linear equations that have the same slope and the same y-intercept are graphed, what is their solution?
Infinite solutions
Ax + By= C is known as what form of equation?
Standard
y=3x + 2
y= -x +6
(3x+2)= -x +6
What method is being used to solve this linear equation?
Substitution
y=2x-4
y=2x+4
Parallel lines, no solution
-y+x=3
y+3x=4
Elimination with subtraction/addition
A system of linear equations are graphed. Two perpendicular lines are formed and intersect close to the origin. How many solutions do they have?
One solution
y-y1=m(x-x1) is known as what type of equation?
2y-x=8
y+x=13
3y=21
y=7
What method was used to solve this system of equations?
Elimination using subtraction/addition
y=x-2
4+2y=2x
4+2y=2x = y=2x/2-4/2 or y=x-2
y=9x+1
y=9x-1
How many solutions does an inconsistent system have?
No solutions
y/x or the slope
2y +3x =12
y +x=6
2y + 3x =12
-2(y+x=6). -2y -2x=-12
What method is being used to solve this system of equations?
Elimination through multiplication
Solve using elimination
x+3y=9
x-2y=4
5y=5
y=1
x=6
y=x
2x=1/2 y+3
substitution because the y value is already set to x
How many solutions does a consistent system have
one if it is independent
infinite if it is dependent
what is the formula for slope?
m=(y-y1)/(x-x1)
3x+6y=15
x+3y=9
(3x+6y=15) / -3. -x-2y=-5
x+3y= 9
y=4
What method is being used to solve this system of equations?
Elimination using division
Solve using substitution
y=3x+1
-2x+y=7
x=6
y=19
x-3y=6
2x+y=3
Elimination using multiplication