Substitution
Solve using substitution:
y = 3x + 4, 2x + y = 10
(2,10)
What is the first step in solving a system using elimination?
Make coefficients of one variable the same.
What is the solution to the system of equations if the two lines intersect at (3,2)?
(3,2)
y = 2x -3
X + y = 7
(5,7)
What is the capital of Texas?
Austin
Why is substitution a good method when one equation is already solved for a variable?
It allows direct substitution, reducing steps.
2x + 3y = 12
-2x + y = 4
(3,2)
Graph the system y = 2x +1 and y = -x + 4 What is the solution?
(1,3)
4x + 5y = 20
y = -2x + 6
(2,2)
What is the name of the actor who plays Spider-Man in the Marvel Cinematic Universe (MCU)?
Tom Holland
Solve the system using substitution:
x = 2y -1, 3x + y =7
(3,2)
When should you multiply one or both equations before using elimination?
When coefficients don’t match initially.
If two lines have the same slope but different y-intercepts, what type of solution does the system have?
No Solutions
Which method would you use to solve this system and why?
3x - 2y = 8
x + y = 5
Elimination (simpler coefficients). Solution: (2,3).
What is the only number that is both even and prime?
2
What happens when you substitute a variable and get a false statement like 5 = 9?
The system has no solution (parallel lines).
3x - 2y = 7
5x + 4y = 11
(3,4)
Given the system y = 1/2x + 3 and 2x + 4y = 12, find the solution by graphing.
(4,1)
5x -3y = 2
-10x + 6y = -4
Infinite solutions (same equation).
If you rearrange the letters in "LISTEN," what word do you get?
SILENT
Solve using substitution:
2y- 4 = x 3x - 6y = 12
Infinite solutions (same line).
6x - 4y = 8
9x + 2y = 17
(2, 2)
How can you determine the solution to a system of equations if the graph is not clearly drawn?
Estimate the intersection or use algebraic methods to verify.
4x - y = 10
2x + 3y =6
(3,2)
What common English word is always spelled incorrectly in the dictionary?
Incorrectly