Graph the system of equations below on a piece of paper. what is the solution? y  =  x  – 1
y  = 3x  + 1    a. (2, 1)    b. (1, –2)    c. (–1, –1)    d. (–1, –2)

Option D is correct

Solution = (-1, -2)

Step-by-step explanation:

Given the equation:

y = x – 1               ....[1]

y = 3x + 1            ....[2]

Equate equation [1] and [2] to solve for x.

Subtract x from both sides we have;

Subtract 1 from both sides we have;

Divide both sides by 2 we have;

x = -1

Substitute the value of x = -1 in [1] we have;

y=-1-1 = -2

Graphically:

Graph the system of equations as shown below.

The intersection point of these lines is the solution for the given system of equation

⇒ (-1, -2)

Therefore, the solution for the given system of equation is, (-1, -2)

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: