Question

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)

Answer 1

(-1, -1)

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