3x + y = 7; 2x - y = 7

To solve this system of equations, you can use the method of elimination.

First, add the two equations together to eliminate the y term:

(3x + y) + (2x - y) = 7 + 7

This simplifies to:

5x = 14

Now, divide both sides of the equation by 5 to solve for x:

5x/5 = 14/5

x = 14/5

Now substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

3x + y = 7

3(14/5) + y = 7

42/5 + y = 7

Now, subtract 42/5 from both sides to isolate y:

y = 7 - 42/5

To simplify, you need a common denominator for 7 and 42/5:

y = (35/5) - (42/5)

y = -7/5

Therefore, the solution to the system of equations is x = 14/5 and y = -7/5.