Solving Systems of Linear Equations by Graphing
Solve the system of linear equations by graphing:
y = 2x + 9
y = -x + 6
(-1,7)
Solve the system of linear equations by substitution:
y = x - 4
y = 4x - 10
(2,-2)
Solve the system of linear equations by elimination:
x + 3y = 5
-x - y = -3
(2,1)
Solve the system of linear equations:
y = 2x - 2
y = 2x + 9
No solution.
Solve the system of linear equations by graphing:
y = x + 4
y = -x + 2
(-1,3)
Solve the system of linear equations by substitution:
y = 2x + 5
y = 3x - 1
(6,17)
Solve the system of linear equations by elimination:
x - 2y = -7
3x + 2y = 3
(-1,3)
Solve the system of linear equations:
y = 3x + 1
-x + 2y = -3
(-1,-2)
Solve the system of linear equations by graphing:
y = 2x + 5
y=1/2 x-1
(-4,-3)
Solve the system of linear equations by substitution:
x = 2y + 7
3x - 2y = 3
(-2, -4.5)
Solve the system of linear equations by elimination:
2x + 7y = 1
2x - 4y = 12
(4,-1)
Solve the system of linear equations:
y = 5x - 9
y = 5x + 9
No solution.
Solve the system of linear equations by graphing:
x + y = 7
y = x + 3
(2,5)
Solve the system of linear equations by substitution:
2x = y - 10
x + 7 = y
(-3,4)
Solve the system of linear equations by elimination:
2x - y = 0
3x - 2y = -3
(3,6)
Solve
-(2x+4)≤ 2x+1
-5/4 ≤ x
Is it possible for a system of linear equations to have exactly two solutions? Explain your reasoning.
No, two lines cannot intersect in exactly two points.
Solve the system of linear equations by substitution:
y - x = 0
2x - 5y = 9
(-3,-3)
Solve the system of linear equations by elimination:
x + 4y = 1
3x + 5y = 10
(5,-1)
Solve the inequality
4x-7 ≥-(-1x/3+5)
x ≥ 6/13
Solve the system of linear equations:
y = 8x - 2
y - 8x = -2
Infinitely many solutions.
The length of a rectangle is equal to triple the width. Write a system of equations to find the dimensions of the rectangle if the perimeter is 96 centimeters? What are the length and the width of the rectangle?
1. define the variables
2. write the system
3. Solve the system
4. Write a sentence for the solution (with units).
1. L = lenght of rectangle (cm)
W = width of rectangle (cm)
2. 86 = 2L + 2W
L = 3W
3. L = 36, W = 12
4. The length is 36 cm and the width is 12 cm.
What is the full name of your Math Teacher?
(name and surname)
Muratchan Avazbekov