Solutions to Linear Equations in Two Variables

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 )

Solve this system

of linear equations.

3x - 4y = 14

5x + y = 8

• ( -2, 2 )

• ( 2, -2 )

• ( 2, 2 )

• ( -2, -2 )

Solve this system

of linear equations.

y = x + 3

-2x + 2y = 6

• no solution

• infinite solutions

• ( 4, 1 )

• ( 5, 2 )

Solve this system

of linear equations.

x = y - 3

2x - 2y = 7

• ( 1, 4 )

• ( 2, 5 )

• no solution

• infinite solutions