Question

Select the correct answer from the drop-down menu. Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y = 56

Answer 1

The correct answer is
  x = -0.5
  y = 6.5
or
  (x, y) = (-0.5, 6.5)

Answer 2

We need to find x and y for these system of equations. We will be using elimination for this.
Let's multiply the first equation by -5 and the second by 9. We will be eliminating x.
-45x-25y=-140
45x+81y=504
56y=364
Let's get y alone by dividing.
364÷56=6.5=y
Let's plug 6.5 in as y for the first equation.
9x+5(6.5)=28
9x+32.5=28
9x=-4.5÷9
X=-0.5
Now, let's try the set in the second equation.
5(-0.5)+9(6.5)
-2.5+58.5
56
So, the solution is X=-0.5 and Y=6.5.