Create and Solve Linear Systems

Given a system of linear equations, two lines that have different slopes would have...

• one solution

• no solution

• infinite solutions

Given a system of linear equations, two lines that have the same slope and the same y-intercepts would have...

• one solution

• no solution

• infinite solutions

Given a system of linear equations, two lines that have the same slope and different y-intercepts would have...

• one solution

• no solution

• infinite solutions

Which of the following systems represents the graph?

The y-value in the solution is ​ (a)  

• -17

• 8.5

• 43

• -12.5

What is the x coordinate of the solution to this system of equations? HINT: Graph and use nSolve. Menu 64.

Mathematical Equivalence

ON

• (-4, -3)

• (4, -1)

• (4, -3)

• (4, 1)

• (-1, -6)

• (-6, 1)

• (-3, -6)

• (1, -6)

Enter the x coordinate of the solution to this system of equations.

HINT: Make sure both equations are in (y=mx+b) form. Then do the shortcut with DESMOS

Mathematical Equivalence

ON

(a)  

• A

• B

• C

• D