10.3 Solving Systems by Matrices Method

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

What is the first step in solving a system of equations by matrices?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

Solve the following system of equations:

7x-9y=29

7x+2y=-15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

Solve by matrices:

9x-4y=7

x-4y=-17

( ​ (a)   , ​ (b)   )

• 3
• 5
• -3
• -1
• 1

Solve by matrices:

7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

What is the solution to the system of equations?

• (0, 0)

• no solutions

• infinite solutions

• (2, 5)

Solve the system by matrices. 

−7x + 6y = 29
10x + y = 16 

• (1,6) 
• (−1,−3) 
•  (−3, −1) 
• (−1, 3) 

Solve the system by matrices.

4x + 12y = −1

−3x − 9y = 0

• (10, 1)

• (−10, −1)

• (10, −1)

• No solution

What is the value of the x-coordinate to the solution of the system of equations?

−7x + 6y = 29

10x + y = 16

*Just write the number*

Mathematical Equivalence

OFF

Solve the system by matrices.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)