Meaning of a Pair of Linear Equations

Solve the system of equations by using substitution. y = 2x + 3 y = x + 2 (x, y) = (_____, _____)

Consider the system of equations below: -2x + 7y = 14 -2x + 7y = -7 How many solutions does the system of equations have?

• 2 solutions

• 1 solution

• No solution

• Infinitely Many Solutions

If a system of equations had 2 lines that overlap, meaning they share all of the same points, how many solutions does the system have?

• One Solution

• Infinitely Many Solutions

• Two Solutions

• No Solution

The solution of the equations x + y = 14 and x - y = 4 is

• x = 5 and y = 9

• x = 10 and y = 4

• x = 4 and y = 10

• x = 9 and y = 5

What is pair of linear equations in two variables?

• a set of two or more linear equations in the same two variables

• a polynomial with three terms

• set of two linear equations in same two variables

• family of two different straight lines

• family of two different coincident lines

• pair of linear equations in two variables

• none of these

The equations 4x + 3y – 5 = 0 and 12x + 9y = 15 represent

• No solution

• Infinite many solution

• Unique solution

• 2 solutions

If a system has 2 lines that overlap, meaning they share all of the same points, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None Of These

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

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

• Parallel lines

• the same line

• Intersecting lines