Given the system of equations below:

Answer 1

1) 3x + 2y = 10
2) 2x - y = 4

To solve this system of equations, we can use the method of substitution or elimination.

Using substitution:
From equation 2, we can isolate y to get y = 2x - 4.
Substitute this into equation 1:
3x + 2(2x - 4) = 10
3x + 4x - 8 = 10
7x = 18
x = 18/7

Substitute x back into equation 2 to solve for y:
2(18/7) - y = 4
36/7 - y = 4
-y = 4 - 36/7
-y = 28/7 - 36/7
-y = -8/7
y = 8/7

Therefore, the solution to the system of equations is x = 18/7 and y = 8/7.