Solving By Graphing
What is the solution of
y= 4x + 3
y = -x - 2
?
What is (-1,-1)?
Solve by substitution.
y = -3x + 4
y = 4x - 10
What is (2,-2)?
Solve by elimination.
4x + 8y = 20
−4x + 2y = −30
What is (7,-1)?
State whether the solution is one solution, no solution, or infinite solutions.
−2x − 9y = −25
−4x − 9y = −23
What is one solution?
Find the value of two numbers if their sum is 12 and their difference is 4.
What is 4 and 8?
What is the solution of
y = 3x - 4
y = -1/2 x + 3
?
What is (2,2)?
Solve by substitution.
y = -4x + 2
y = 6x - 8
What is (1,-2)?
Solve by elimination.
x − y = 11
2x + y = 19
What is (10,-1)?
State whether the solution is one solution, no solution, or infinite solutions.
y = -2x + 8
y = -2x - 1
What is no solution?
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
What is a senior citizen ticket: $4 and a child ticket: $7?
What is the solution of
y = 1/3 x - 3
y = -x + 1
?
What is (3,-2)?
Solve by substitution.
x = -3x
4x - 2y = -20
What is (-2,6)?
Solve by elimination.
8x + y = −16
−3x + y = −5
State whether the solution is one solution, no solution, or infinite solutions.
y = -3x + 5
y = 8 - 3x
What is no solution?
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
What is a small box of oranges: $7 and a large box of oranges: $13?
What is the solution of
y = 4x + 1
y = x - 2
?
What is (-1,-3)?
Solve by substitution.
y = 3x - 4
4x + 3y = 1
What is (1,-1)?
Solve by elimination.
−3x + 7y = −16
−9x + 5y = 16
What is (-4,-4)?
State whether the solution is one solution, no solution, or infinite solutions.
y - 2 = 10x
y = 10x + 2
What is infinite solutions?
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
What is 2 fancy shirts and 5 plain shirts?
What is the solution of
y = -1/4 x + 3
y = -3/2 x - 2
?
What is (-4,4)?
Solve by substitution.
y = x - 4
-4x - 6y = -16
What is (4,0)?
Solve by elimination.
−x − 7y = 14
−4x − 14y = 28
What is (0,-2)?
State whether the solution is one solution, no solution, or infinite solutions.
y = 3x - 6
2y = 6x - 12
What is infinite solutions?
The difference of two numbers is 16. The greater number is 5 less than 4 times the smaller number. Find the two numbers.
What is 7 and 23?