Solve the system of linear equations using a table, a graph, or algebraically. y=x+4 y=5x-4
(2,6)
Why are we playing jeopardy today?
To celebrate going back in person soon
What are the three different types of solutions when solving systems of linear equations? What do each mean in detail?
One solution: There is only one solution to the answer, only one place where the two lines intersect. No solution: The lines are parallel and never intersect, therefore never having a place where they meet. The slopes are the same, different y intercept. Infinitely many solutions: The two lines lay on top of one another, they will always be touching, therefore an infinite amount of solutions. Same equations.
Julie is trying to decide whether to bike up the mountain or the hill, but is tired from her workout from the previous day. The hill has a height of 8 yards and a width of 12 yds. The mountain has a height of 12 yards and a width of 20 yards. Which is easier to climb? Why?
It is easier to climb to mountain because it has a smaller slope.