4x + 3y = -5
-2x+2y = 6

4x + 3y = -5

x = −3 /4 y +  −5 /4

y = −4 /3 x +  −5 /3

-2x+2y = 6

x = y - 3

y = x + 3

Step-by-step explanation:

Solving for x

4x + 3y = -5

4x + 3y + −3y = −5 + −3y

4x = −3y − 5

Then you will divide both sides by 4.

4x /4  =  −3y − 5 /4

x=  −3 /4 y +  −5 /4

Solving for y

4x + 3y + −4x = −5 + −4x

3y = −4x −5

Then you will divide both sides by 3.

3y /3  =  −4x −5 /3

y =  −4 /3 x +  −5 /3

-2x + 2y = 6

Solving for x

−2x+2y+−2y=6+−2y

−2x = −2y + 6

Then you will divide both sides by -2.

−2x/ −2  =  −2y + 6/ −2

x = y − 3

Solving for y

−2x + 2y + 2x = 6 + 2x

2y = 2x + 6

Then you will divide both sides by 2.

2y /2  =  2x + 6 /2

y = x + 3

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:

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step-by-step explanation: