What is the solution?
(-1,1)
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
What strategy would be easiest to use and explain why?
14x + 2y = 26
-14x - 6y = -50
elimination because the coefficients of x will cancel out.
Do the Check:Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
How many solutions are there?
No Solutions
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
What strategy would be easiest to use and explain why?
-5x - 5y = 10
y = -4x -17
substitution because y is already solved for.
Do the Check: Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
Solve Using Graphing:
y = 5/3x + 2
y = -3
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = -4
Infinitely Many
In 40 years, Anne will be 11 times as old as she is right now. How old is she right now?
Anne is 4 years old right now.
What type of lines have no solutions?
What are Parallel lines.
Solve the systems of linear equations by graphing:
4y = x - 8
-3x + 2y = 6
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
Solve the systems of equations using Elimination:
-5x + 7y = -7
-2x - 2y = 2
(0, -1)
Name two forms of a linear equation?
slope-intercept
point-slope
standard form
Yohan walked at 5km/hr to the school bus. The bus traveled 60km/hr to school. The total distance from home to school is 35 miles and it took 1.5 hours. What is the time spent walking and riding the bus?
1 hour walking
1/2 hour riding the bus
To find a solution when graphing systems of equations, you do this.
Solve both equations for y, then graph to find the point of intersection.
A line that has a slope of zero is this type of line.
horizontal line
A line that is vertical has this type of slope
Undefined slope
What is -25 + -32? (no calculator)
-57
What should you do after finding a solution?
What is check your answer?