Solving Systems of Linear Equalities

If a system of equations has infinite solutions, what does the graph look like? 

• lines intersect

• parallel lines

• lines coincide

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Solve the linear system:

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve the linear system:

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the value of z in the solution of the system?

Mathematical Equivalence

ON

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

​ ​ (a)   ​ ​ (b)  

The coordinate point that satisfies BOTH equations in a linear system is called the _____________________.

• system of equations

• function

• graph

• solution 

What is the Solution to this system?

• (2,-2)

• (0, 0)

• Infinite Solutions

• No Solution

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions