Systems of Equations

Front

What is the solution to this system of equations?

y = -4x

-2x + y = -6

Back

(1, -4)

Front

Solve the following systems of equations using substitution: 5x - 2y = 3, y = 2x

Back

(3, 6)

Front

Solve the following system of equations:

y = x + 3

x + y = 9

Back

(3,6)

Front

How many solutions will this system have? Options: No solution, One Solution, I Don't Know, Infinitely Many Solutions

Back

No solution

Front

What does it mean if a system of linear equations has one solution? Options: Parallel lines, the same line, Intersecting lines

Back

Intersecting lines

Front

Solution to the system of equations?

Back

(1, 3)

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

Based on the equations for each line, how many solutions would the system have:

y = 2x + 3

y = -4x + 3

Back

One Solution

Front

Based on the equations for each line, how many solutions does the system have? y = 5x + 3, y = 5x - 2

Back

No Solution

Front

Based on the equations for each line, how many solutions does the system have?

y = -3x + 2

y = -3x + 2

Back

Infinite Number of Solutions