Solve using the substitution method.

Let's solve the system of equations using the substitution method:

1) 2x + y = 5
2) 3x - 2y = 8

From equation 1, we can solve for y in terms of x:
y = 5 - 2x

Now, substitute this expression for y into equation 2:
3x - 2(5 - 2x) = 8
3x - 10 + 4x = 8
7x - 10 = 8
7x = 18
x = 18/7

Now, substitute the value of x back into the expression for y:
y = 5 - 2(18/7)
y = 5 - 36/7
y = 35/7 - 36/7
y = -1/7

Therefore, the solution to the system of equations is x = 18/7 and y = -1/7.

Step 1: Solve one equation for one variable.

Let's solve the second equation for y:

y = 2x + 3

Step 2: Substitute the expression for the variable into the other equation.

Substitute the expression for y into the first equation:

x - (2x + 3) = -1

Step 3: Solve for the remaining variable.

Simplify the equation:

x - 2x - 3 = -1
-x - 3 = -1
-x = 2
x = -2

Step 4: Substitute the value of the variable back into one of the original equations to solve for the other variable.

Substitute x = -2 into either the first or second equation to solve for y:

y = 2(-2) + 3 = -1

Therefore, the solution to the system of equations is x = -2 and y = -1.