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determin which ordered pair is a soulution to the equation. 1.5x-2y=8

3 answers

To determine which ordered pair is a solution to the equation \(1.5x - 2y = 8\), we can substitute the values of \(x\) and \(y\) from each ordered pair into the equation and see if the equation holds true (i.e., both sides are equal).

Please provide the ordered pairs you want to test, and I can help you determine which, if any, satisfy the equation.

(-4, -7) (4, -7) (4, 7) (-4, 7)

Let's test each ordered pair to see if it satisfies the equation \(1.5x - 2y = 8\).

  1. For the pair \((-4, -7)\): \[ 1.5(-4) - 2(-7) = -6 + 14 = 8 \] This is a solution.

  2. For the pair \((4, -7)\): \[ 1.5(4) - 2(-7) = 6 + 14 = 20 \] This is not a solution.

  3. For the pair \((4, 7)\): \[ 1.5(4) - 2(7) = 6 - 14 = -8 \] This is not a solution.

  4. For the pair \((-4, 7)\): \[ 1.5(-4) - 2(7) = -6 - 14 = -20 \] This is not a solution.

Thus, the only ordered pair that is a solution to the equation \(1.5x - 2y = 8\) is \((-4, -7)\).