Substitution
If y=5 and x+y=12, what is the value of x?
7
x+y=10 and x-y=2. Which variable would cancel out if you added these equations together?
y
The point where two lines _______ on a graph is the solution to the system.
intersect
Is (1, 1) a solution to x+y=2?
yes
x=3y and 6y-4x=9
Show ONLY the first step in how you would solve this using substitution.
6y-4(3y)=9
x+y=5 and 2x+y=8. What number should you multiply the first equation by to eliminate x?
-2
If two lines are parallel on a graph, how many solutions does the system have?
0
In the equation y=-7+5x, what is the slope?
5
What does y equal if x=2 and 3x-y=4?
2
2x+3y=12 and -2x+y=-4. What is the result of adding these equations together?
4y=8
If two equations have the exact same line on a graph, how many solutions does the system have?
infinite
What is the point (0, 0) on a graph called?
the origin
y=x+2 and 2x+y=8. Find the solution to this system and write your answer as an ordered pair.
(2, 4)
x+y=6 and x-y=2. Find the solution to this system and write your answer as an ordered pair.
(4, 2)
A system has a solution (3, -2). Which quadrant is the system's intersection in?
4
Write a system of equations with the following requirements:
The first equation passes through the y axis at 2 and has a slope of 1.
The second equation passes through the y axis at -2 and has a slope of -1.
DOUBLE POINTS if you can find the solution to the system!
y=x+2
y=-x-2
Solution: (-2, 0)