Answer:
x = - 6
Step-by-step explanation:
given the 2 equations
3x + 5y = - 13 → (1)
2x - 3y = - 15 → (2)
To eliminate y from the equations we require their coefficients to be equal so that when we add the equations y is eliminated
multiply equation (1) by 3 and equation (2) by 5
9x + 15y = - 39 → (3)
10x - 15y = - 75 → (4)
add (3) and (4) term by term
(9x + 10x) + (15y - 15y) = (-39 - 75 )
19x = - 114 ( divide both sides by 19 )
To find y substitute x = - 6 into either (1) or (2)
48
1031.25 =x
50/24 = x /495
We can use cross products to solve
50 *495 = 24*x
24750 = 24x
Divide each side by 24
24750/24 =24x/24
The answer is option D.
Hope this helps you
