ANSWER
(7, 4)
Step-by-step explanation
We want to find the solution to the system of equations:
-3х + 8y = 11
-3х - 5y = -41
From the second equation, we have that:
-3x = 5y - 41
Let us replace -3x in the first equation with the expression above:
=> 5y - 41 + 8y = 11
Collect like terms:
5y + 8y = 11 + 41
13y = 52
Divide through by 13:
y = 52 / 13
y = 4
Recall that:
-3x = 5y - 41
=> -3x = 5(4) - 41
-3x = 20 - 41
-3x = -21
Divide through by -3:
x = -21 / -3
x = 7
Therefore, the solution to the system of equations in the form (x, y) is (7, 4)