"Graphing"
If the lines __________ in a single point, then the coordinates of the point are the solution of the linear system.
What is intersect
Solve the linear system by substitution.
3x + y = -9
y = 5x + 7
What is (-2, -3)
Solve the linear system using elimination.
x + 2y = 13
x - 2y = -7
What is (3, 5)
Solve the linear system using elimination.
-x + y = -4
2x - 3y = 5
What is (7, 3)
Tell whether the linear system has one solution, no solution, or infinitely many solutions.
-2x + y = -3
y = 2x + 1
What is no solution
Solve the linear system by "graphing."
y = x - 2
y = -3x + 2
What is (1, -1)
Solve the linear system by substitution.
y = 2x - 7
x + 2y = 1
What is (3, -1)
Solve the linear system using elimination.
4x - 5y = 14
-4x + y = -6
What is (1, -2)
Solve the linear system using elimination.
3x - 5y = -7
-4x + 7y = 8
What is (-9, -4)
Tell whether the linear system has one solution, no solution, or infinitely many solutions.
x = 2y - 3
1.5x - 3y = 0
What is no solution
Solve the linear system by "graphing."
y = -3x + 1
y = x - 7
What is (2, -5)
Solve the linear system by substitution.
x + 4y = 9
x - y = 4
What is (5, 1)
Solve the linear system using elimination.
x + 7y = 12
-2x + 7y = 18
What is (-2, 2)
Solve the linear system using elimination.
8x - 7y = -3
6x - 5y = -1
What is (4, 5)
Tell whether the linear system has one solution, no solution, or infinitely many solutions.
-x + y = 8
x + 8 = y
What is infinitely many solutions
Solve the linear system by "graphing."
y = 3x + 4
y = -2x - 1
What is (-1, 1)
Solve the linear system by substitution.
2x + y = -15
y - 5x = 6
What is (-3, -9)
Solve the linear system using elimination.
9x - 2y = 34
5x - 2y = 10
What is (6, 10)
Solve the linear system using elimination.
11x = 2y - 1
3y = 10 + 8x
What is (1, 6)
Tell whether the linear system has one solution, no solution, or infinitely many solutions.
4x = 2y + 6
4x + 2y = 10
What is one solution
Solve the linear system by "graphing."
x + y = 3
x - y = 5
What is (4, -1)
Kara spends $16 on tubes of paint and disposable brushes for an art project. Each tube of paint costs $3, and each disposable brush costs $.50. Kara purchases twice as many brushes as tubes of paint. Find the number of brushes and the number of tubes of paint that she purchases.
What is 4 tubes of paint, 8 brushes
Solve the linear system using elimination.
4y = 11 - 3x
3x + 2y = -5
What is (-7, 8)
You pay $24.50 for 10 gallons of gasoline and 1 quart of oil at a gas station. Your friend pays $22 for 8 gallons of the same gasoline and 2 quarts of the same oil. Find the cost of 1 quart of oil.
What is $2
You receive a $40 gift card to a movie theater. A ticket to a matinee movie m costs $5, and a ticket to an evening movie n costs $8. Write a system of inequalities for the number of tickets you can purchase using the gift card.
What is 5m + 8n ≤ 40, m ≥ 0, n ≥ 0