Substitution
Elimination
Graphing
Systems Info
Word Problems
100
What is the solution to the following system? y= 6x-11 -2-3y=-7
( 2,1 )
100
What is the solution for the following system? -4x-2y=-12 4x+8y=-24
(6,-6)
100
What do you need to identify from each equation before solving by graphing?
What the slope is (m) and what the y-intercept is (b).
100
How many equations are in a system of equations?
2 or more
100

Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night, you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. How many hot dogs were sold and how many sodas were sold?

35 hot dogs and 52 sodas

200
What is the solution to the following system? Y=-3x+5 5x-4y=-3
( 1, 2 )
200
What is the solution for the following system? X-y+11 2x+y=19
( 10,-1 )
200
What is m and b in the following equation? y=3x+2
M=3 b=2
200

What should your answer be written as when solving systems?

An ordered pair.

or

x=#

y=#

200

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

(18, 59)

300
What is the solution to the following system? Y=-2 4x-3y=18
( 3, -2 )
300
What is the solution for the following system? -2x-9y=-25 -4x-9y=-23
( -1,3 )
300
What is the solution to the following system of equations? (You have to graph them) y=x-3 y=-x-1
(1,-2)
300

How do you check your answer when solving systems of equations?

You plug the ordered pair back into both equations and see if you get the same number on both sides of the equals sign for both equations.

300

The difference of two numbers is 3. Their sum is 13. Find the numbers.

(4, 8)

400
What is the solution for the following system? -4x+y=6 -5x-y=21
( -3, -6 )
400

What is the solution for the following system? 3x-y=-2 -2x+y=3

(1,5)

400
What is the solution to the following system of equations? (You have to graph them) y=-2x-1 y=x+5
(-2,3)
400
It is possible to have no solution to a system of linear equations. When solving by graphing what you that look like?
Two lines that are parallel and do not intersect.
400

You and a friend go to Taco Mama for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?

(1.25, 2.50)

500

What is the solution for the following system? -5x+y=-2 -3x+6y=-12

( 0,-2 )

500
What is the solution for the following system? x -y = -3 5x+3y=1
(-1,2)
500
What is the solution to the following system of equations? (You have to graph them) y=-x+6 y=x
(3,3)
500
It is possible to have infinite many solutions to a system of linear equations. When solving by graphing what would that look like?
The same line. They would have the same slope and y-intercept.
500

The sum of twice a number and 4 times another number is 4. The first number decreased by the second number is 5. Find the numbers. 

(4, -1)

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