6.1A Solutions to Linear Systems

Front

What is the solution to this system of equations? Options: (1,4), (4,1), (3,5), (-1, 4)

Back

(4,1)

Front

Make a prediction: since these two lines never intersect, how many solutions will this system have?

Back

None

Front

Is the point (2, -1) a solution to the systems of equations below?
y=5x+3
y=-2x-4

Back

No

Front

How can you tell if a point is a solution to a linear system using their equations?

Back

The (x,y) coordinates satisfy both equations.

Front

How can you tell if a point is a solution to a linear system using their graphs?

Back

It is the place where lines intersect.

Front

Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4

Back

YES

Front

What is the solution to this system of equations? Options: (2,1), No Solution, (-2, -1), (0, -3)

Back

(-2, -1)

Front

Determine if (4, 1) is a solution for the system of equations: y = -x + 5, y = 2x - 10

Back

no

Front

What is the solution to this system of equations? Options: (-2,0), (4,0), (0,4), (1,3)

Back

(1,3)

Front

Is the ordered pair (0, 3) a solution to the system: 7x - 9y = -27 and 14x + 2y = 6?

Back

Yes