Solving pairs of linear equations in two variables

True or false: a solution to a system of linear equations is in the form of an ordered pair.

• True

• False

Solve the system.

4x - 9y = 11 and 3x - 7y = 9

Solve this system of equations using a matrix equation and inverses.

• x = -5, y = -1

• x = 2, y = -1/4

• x = 1/2, y = -3/4

• x = -1, y = -5

Solve : 
3x-y=5
x+y=3

• X=2 , Y=1 
• X=1 , Y=2
• X= 1/2 , Y=4
• None of these are correct

1) If 51x + 49y = 150 and 49x + 51y = 50 then obtain the value of x – y : x + y

• 25:1

• 25:2

• 50:1

• 1:25

What is the value of the y-coordinate of the solution to the system of equations 
x - 2y =1
x + 4y =7 

• 1
• -1
• 3
• 4

What is a solution to the following system of equations?
 $2x+3y=6y-x$  

• x=2, y=2

• x=3, y=1

• x=4, y= 5

• x=1, y=2

Tina wrote the equations 3x-y=9 and 4x+y=5. What can Tina conclude about the solution to this system of equations?

• (–3, 2) is a solution to the system of linear equations.

• (–2, 3) is a solution to the system of linear equations.

• (2, –3) is a solution to the system of linear equations.

• (3, –2) is a solution to the system of linear equations.

y = -6
-3x - 6y = 24

• (6, 6)
• (6, -6)
• (4, -6)
• (-6, 4)

For the simultaneous equations in variable x and y, if Dx = 49, Dy= -63, D= 7 then what is the value of x ?

• 7

• -7

•  $\frac{1}{7}$  

•  $-\frac{1}{7}$