Can someone me solve for x and y? you

 
Choice D) x*y = -10



Explanation:

Multiply both sides of the first equation by 10 to clear out the fractions (10 is the LCD)
3x/5 + y/2 = 13/10
10*(3x/5 + y/2) = 10*(13/10)
6x + 5y = 13

Multiply both sides of the second equation by 100 to get each decimal value to turn into a whole number (move the decimal point over 2 spots to the right)
0.5y + 0.04x = 2.42
50y + 4x = 242
4x + 50y = 242

So we have this new system of equations which is equivalent to the original system
6x + 5y = 13
4x + 50y = 242

Multiply both sides of the top equation by 10 so that the 5y turns into 50y
6x + 5y = 13
10*(6x + 5y) = 10*13
60x + 50y = 130

Now we have this system of equations
60x + 50y = 130
4x + 50y = 242

If we subtract straight down then we have
60x-4x = 56x
50y-50y = 0y = 0 ... notice how the y terms go away effectively
130-242 = -112

The y terms go away leaving us with this simplified equation
56x = -112
Which solves to
x = -2
when we divide both sides by 56

Now use that x value to find y
6x + 5y = 13
6(-2) + 5y = 13 ... replace x with -2
-12 + 5y = 13
-12+5y+12 = 13+12 ... adding 12 to both sides
5y = 25
5y/5 = 25/5 dividing both sides by 5
y = 5

In summary we have x = -2 and y = 5. Therefore, x*y = -2*5 = -10 is the answer

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.