Consider the equations: y = 3x + 2 and y = 2x + 1.

Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.

(-1, - 1)

(0,2)

(1,5)

(2,8)

(-1, - 1)

Step-by-step explanation:

First, both equations are equal to y, so we can substitute one equation for y in the other equation.

1. 3x + 2 = 2x + 1

Next, we need to add or subtract like terms from each side.

2. 3x + 2 = 2x + 1

-2x - 2 - 2x - 2

x = - 1

We found x. Now we can plug in x to one equation to find y.

3. y = 2 (-1) + 1

y = - 2 + 1

y = - 1

To make sure it works, let's plug in y to one of the equations.

4. - 1 = 2x + 1

-1 - 1

-2/2 = 2x/2

-1 = x