Solving Linear Systems

Which method is most appropriate to solve the following system:

x = 3 y

2 x - 10 y = 32

• the substitution method

• the multiplication w/ addition method

• matrix multiplication method

• double distribution method

Which ordered pair is the solution to the following system: 2 x + 1 y = 6 3 x - 2 y = 2

• (2, 4)

• (2, 2)

• (4, 2)

• (6, - 6)

Solve by elimination:

m + 3 n = 9

-2 m - 3 n = - 15

• (- 6, 5)

• (3, 2)

• (6, 1)

• (-3, 4)

Which of the following statements is NOT true?

• Systems of linear equations in two variables can be used to solve word problems.

• If two linear equations are parallel, then that system of linear equations has infinitely many solutions.

• If a system has only one point of intersection, then that ordered pair is the only solution of both equations.

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

Mathematical Equivalence

ON

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

HINT: Make sure both equations are in (x + y = #) form. Then do the shortcut.

Mathematical Equivalence

ON

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

Which ordered pair solves the following system:

x - y = 0

-3 x = 3 y

• (- 3, - 3)

• (0, 0)

• (1,1)

• no solution