Answer: x = 5, y = 2/5
Step-by-step explanation:
We have the system of equations:
6*x + 5*y = 32
2*x + 5*y = 12
To solve it, we can start by isolating one of the variables in one of the equations.
Because in both of them we have the term 5*y, i will isolate 5*y in the second equation:
5*y = 12 - 2*x
Now let's replace it in the first equation:
6*x + (12 - 2*x) = 32
Now let's solve it for x
6*x + 12 - 2*x = 32
(6*x - 2*x) = 32 - 12 = 20
4*x = 20
x = 20/4 = 5
Now we know the value of x, we can replace it in the equation:
5*y = 12 - 2*x
to find the value of y.
5*y = 12 - 2*5
5*y = 2
y = 2/5
Then the solution of the system is x = 5, y = 2/5
