Substitution
y=2x-1
y+x=5
(2,3)
y=2x-3
-2x+y=9
no solutions
What does y=mx+b mean?
slope-intercept
y=-3x+1
4x+y=3
(2, -5)
x=3
y=7
one solution
What is m in y=mx+b?
slope
3x+2y=12
y=-x+5
(2, 3)
5x+y=-3
10x+2y=-6
infinitely many solutions
What are the two ways to solve systems of linear equations?
substitution and graphing
y=x+1
x-2y=-4
(3,2)
y==-4x-3
y=x-8
one solution
What is b in y=mx+b?
y intercept
Roberta is 20 years older than Julian. In 4 years, Robertas age will be twice the age of Julian. What is Julians current age?
16
2x+3y=6
x-y=4
(18/5, -2/5)
y=4x+8
y=4x+8
infinitely many solutions
What are X and Y called in an equation?
variables
Two spiders are climbing up a wall. The first one is at a height of 8 from the ground and climbs at a speed of 6 feet per minute. The second is at a height of 20 feet from the ground and climbs 3 feet every minute?
After what time, in minutes, will the spiders be at the same height on the wall?
4 minutes