Solving Linear and rational equations

Rewrite the equation 6x - 3y = 12 to create equivalent equations. Select all that apply:

• 2x - y = 4

• y = 2x - 4

• -12x + 6y = -24

• 3x - y = 6

 $x\left(x+14\right)=5$  

• Rational

• Quadratic

• Linear

• Polynomial

 $\frac{6}{x-3}-\frac{1}{x^2+3x-18}=\frac{1}{x-3}$  

•  $\frac{5}{29}$  

•  $-\frac{29}{5}$  

•  $\frac{29}{5}$  

• 3

Which equation is being represented by this line?

• y = -1x + 2
• y = 1/2x + 2
• y = 3x -4
• y = -3x +2

Solve the following: $\frac{x}{2x-3}=\frac{3x}{x+11}$   

•  $x=0,\ 4$  

•  $x=4$  

•  $x=0$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

• 31

• 13

• 2

• 0

• Infinite solutions

• 7

• 8

• No solutions

• This equation is inconsistent.

• 1

• 2

A class of 45 students is divided into two groups. If one group has 9 students less than the other, how many students are in the smaller group?

• 27

• 14

• 18

• 13

Solve the following: $\frac{2}{x-3}=\frac{5}{2x+1}$   

•  $x=17$  

•  $x=\frac{17}{9}$  

•  $x=-17$  

•  $extraneous\ \ \ \ solution\left(s\right)$