Answer:
x = 4 and y = -5 is the solution of the system of equations
Explanation:
The system of equations has been given as
-2x + 6y = - 38
We divide this equation by 2
-x + 3y = - 19 ----------(1)
3x - 4y = 32 ----------(2)
We multiply the equation 1 by 3 add to equation 2
3(-x + 3y) + (3x - 4y ) = - 57 + 32
-3x + 9y + 3x - 4y = - 25
5y = -25
y = -5
Now we replace y = -5 in equation 1
-x + 3×(-5) = -19
-x - 15 = -19
-x = -19 + 15 = -4
x = 4
Therefore, x = 4 and y = -5 is the solution of the system of equations.