System of equations-5x+3y=-6 9x-4y=1

We can solve this system of equations by reduction method.

9(-5x+3y=-6)
5(9x-4y=1)

         7y=-49      ⇒y=-49/7=-7

4(-5x+3y=-6)
3(9x-4y=1)

   7x=-21          ⇒x=-21/7=-3

x=-3, y=-7

We can solve this system of equations by substitution method.

-5x+3y=-6      ⇒y=(-6+5x)/3
9x-4y=1

9x-4(-6+5x)/3=1
9x+(24-20x)/3=1
27x+24-20x=3
7x=3-24
7x=-21
x=-21/7=-3

y=(-6+5x)/3
y=(-6+5(-3))/3=(-6-15)/3=-21/3=-7

x=-3, y=-7

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.