04.28.22 - Graded Assignment - ACC

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

Solve by elimination:
2x - 3y = -6
-2x - 2y = 26

• (-9,-4)
• (9,4)
• (4,9)
• (-4,-9)

Solve by elimination:

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution
• Elimination
• Graphing
• None of these

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

• Substitution
• Elimination
• Graphing
• None

Type the first step to solve this system using substitution:

 $y=-5x$  
 $2x+6y=-3$  

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

• add the equations together and cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Type the first step to solve this system using substitution:

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs