Systems Review (BEAR Time)

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

• TRUE
• FALSE

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

What variable do you eliminate, and what do you multiply the equation(s) by?

5x + y = 9

10x − 7y = −18

• You eliminate x, and multiply the top equation by 11

• You eliminate y, and multiply the top equation by 7

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)
• (5,4)
• (4,5)
• (2,-1)

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

For the following equations, it would be easier to change the ​ (a)   variable into opposites by multiplying by ​ (b)   ​ .

2x + 3y = 12

4x - 7y = - 54

• x
• -2
• y
• 2
• 7
• 3

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs

What is the best method for solving this system of linear equations?

 $x+y=5$  
 $2x-y=4$  

• Graphing

• Substitution

• Elimination