Intro to Solutions to Systems through Substitutions

Is (1,7) a solution for

y=3x+4

y=x+6

• yes

• no

Is the ordered pair (2,1) a solution to the system?

• Yes

• No

Is the ordered pair (4, -1) a solution to the system of equation?

• Yes

• No

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve:
y=8x+1
y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Is the point (2, -1) a solution to the systems of equations below?

• Yes

• No

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines