Answer:
The system of equations is (x, y) = (13, 12).
Explanation:
To evaluate the system of equations:
3x - 2y = 15
7x - 3y = 15
We can use either the substitution or elimination method to solve the system.
Using substitution method:
From the first equation, we can isolate x as follows:
3x - 2y = 15
3x = 2y + 15
x = (2/3)y + 5
Substitute this expression for x into the second equation:
7x - 3y = 15
7[(2/3)y + 5] - 3y = 15
Simplify and solve for y:
(14/3)y + 35 - 3y = 15
(-5/3)y = -20
y = 12
Now that we know y = 12, we can use either equation to solve for x:
3x - 2y = 15
3x - 2(12) = 15
3x - 24 = 15
3x = 39
x = 13
Therefore, the solution to the system of equations is (x, y) = (13, 12).