Intersections of Linear Equations

Solve the system algebraically: 6x+y=-16 y+7=x^2 Write answer(s) as ordered pair(s) : (x,y) no spaces

What is a solution to a system of linear equations? Select the two statements that are correct.

• The point where both lines intersect

• The point where the y-axis and x-axis meet

• An ordered pair that both lines share

• A salt dissolved in water

What would the solution (intersection) be to this system of linear equations?

• (0,0)

• (2,2)

• (6,0)

• (0,4)

Graph the system and identify the solutions (points of intersection).

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Graph the system and identify the solutions (points of intersection).

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

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Graph the system and identify the solutions (points of intersection).
7x+4y =12 
x + 2y = -4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Graph the system and identify the solutions (points of intersection).

x -2y = -2
3x - 2y = 6

• (4,3)

• (-3,4)

• (-2,-3)

• (-3,-4)

Graph the system and identify the solutions (points of intersection).

x - 4y = -4
x + 2y = 8

• (2,2)

• (4,2)

• (2,-2)

• (4,-2)

Graph the system and identify the solutions (points of intersection).
y = 3x - 8
y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

What is the solution (intersection) to this system?

• One Solution

• No solution

• Infinitely Many Solutions