PLEASE HELP ME
Which of the following statements describe the system
{y=3x+2y=y−2x−1? Select two answers.
A. consistent
B. inconsistent
C. infinite solutions
D. one solution

A.consistent

D.one solution

Step-by-step explanation:

Assuming the system has equations

Then we can examine the gradients to make our choice without necessarily solving the equations.

Interestingly, both equations are in slope-intercept form. (y=mx+c) where m=3 is the slope of the first equation and m=2 is the slope of the second equation.

Since the slopes are not the same the lines are not parallel.

Non-parallel lines in the same plane will meet at only one point, there is only one solution.

The system is consistent because there exist a solution.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: