Graphing Systems of Equations
Graph the following system of equations. Determine if One Solution, No Solution, or Infinite Solutions. Write the ordered pair if one solution.
y = 1/3x - 2
y = 1/3x + 4
No Solution
Solve using substitution
x = 4y
2x + 3y = 22
(8, 2)
Solve using elimination
x + 4y = 8
x + 2y = 6
(4, 1)
Solve using elimination
4x + 6y = 8-2x + 4y = 10
(-1, 2)
Graph the following system of equations. Determine if One Solution, No Solution, or Infinite Solutions. Write the ordered pair if one solution.
y = 2/3x - 4
y = 2/3x - 4
Infinite Solution
Solve using substitution
y = x - 2
3x - y = 16
(7, 5)
Solve using elimination
2x + y = 14
5x - y = 7
(3, 8)
Solve using elimination
5x + 8y = 34
2x - 2y = -2
(2, 3)
Graph the following system of equations. Determine if One Solution, No Solution, or Infinite Solutions. Write the ordered pair if one solution.
y = x + 4
y = 2x + 5
One Solution
(-1, 3)
Solve using substitution
y = 3x - 1
7x + 2y = 37
(3, 8)
Solve using elimination
3x +6y =12
3x + 3y= 9
(2,1)
Solve using elimination
-9x + 3y =27
-3x + 4y = 27
Graph the following system of equations. Determine if one solution, no solution, or infinite solutions. If one solution write the ordered pair
y = (1/3)x - 3
2x - y = 8
One Solution
(3, -2)
Solve using substitution
3x + y = 4
5x + 2y = 6
(2, -2)
Solve using elimination
9x + 5y = -12
3x - 5y = -24
(-3, 3)
Solve using elimination
2x + 3y = 6
3x + 5y = 15
(-15, 12)
Graph the following system of equations. Determine if One Solution, No Solution, or Infinite Solutions. Write the ordered pair if one solution.
6x + 2y = 10
9x + 3y = 27
No Solution
Solve using substitution
3x + 6y = 24
x + 4y = 20
(-4, 6)
Solve using elimination
4x - 7y = -10
-4x + 3y = -6
(4.5, 2)
Solve using elimination
-6x - 8y = -28
9x + 5y = -14
(-6, 8)