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20 September, 07:06

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)

+5
Answers (1)
  1. 20 September, 08:06
    0
    (-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
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