Please help solve!! i need my work need to me shown so please help me! ❤️

Step-by-step explanation:

multiply the first equation by 5 and the second by 2

5(3x+2y=-7)

2(2x-5y=8)

15x+10y=-35

4x-10y=16

add them

19x=-19

divide both sides by 19

x=-1

bring the value of x in either equation 1 or 2

in 1

3(-1)+2y=-7

-3+2y=-7

2y=-7+3

2y=-4

divide both sides by 2

y=-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: