what is 16x-10y=10 -8x-6y=6

Answer 1

I am assuming you are supposed to use a system of equations to solve for x and y, given the 2 equations:

A)16x - 10y = 10

B) -8x - 6y = 6

Without getting into linear algebra, one way to solve this problem is to solve for one variable with one equation and plug that variable into the second equation.

So, lets start with the first equation (A), and solve for x.

16x - 10y = 10

16x = 10 + 10y

x = (10/16) + (10/16y)

x = 5/8 + 5/8 * y

Plug in this x into equation B

-8x - 6y = 6

-8*(5/8 + 5/8 * y) - 6y = 6

-5-5y - 6y = 6

-5 -11 y = 6

y = -1

Lastly, plug in this y that we just found into the equation to find x:

x = 5/8 + 5/8 * y

x = 5/8 + 5/8(-1)

x = 5/8 - 5/8

x = 0

There you have it:

x = 0.

y = -1