Linear Systems in Two Variables

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

A linear system has no solution when the graphs of the equations are parallel.

• TRUE

• FALSE

A solution of a system of equations will make _____ equations true, when x and y are plugged in 

• The first

• The second

• Both

• Neither

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

A solution to a

system of linear equations

with two variables

is written as an ordered pair

( x, y ).

• True

• False

A solution to a system

of two linear equations

in two variables

must make BOTH

equations TRUE.

• False

• True

A system of linear equations in two variables can have how many ordered pair ( x, y ) solutions?

(select all correct answers)

• none

• one ordered pair solution

• infinite ordered pair solutions

Solve this system

of linear equations.

x = 8 - 4y

3x + 5y = 3

• ( 20, -3 )

• ( 3, -4 )

• ( -4, 3 )

• ( -3, 20 )

Solve this system

of linear equations.

y = -4x + 5

2x - 3y = 13

• ( 3, -2 )

• ( -3, 2 )

• ( -2, 3 )

• ( 2, -3 )