Answer:
(x , y)=(5 , 3)
Explanation:
-4x-6y=-38
5x+18y=79
Multiply both sides of the equation by 3
-12x-18y=-114
5x+18y=79
Sum the equations vertically to eliminate at least one variable
-7x=-35
Divide both sides of the equation by -7
x=5
Substitute the given value of x into the equation -4x-6y=38
-4x5-6y=-38
Solve the equation for y
y=3
The possible solution of the system is the ordered pair (x , y)
(x , y) =(5 , 3)
Check if the given ordered pair is the solution of the system of equations
-4x5-6x3=-38
5x5+18x3=79
Simplify the equalities
-38=-38
79=79
Since all of the equalities are true, the ordered pair is the solution of the system
(x , y)=(5 , 3)