ccss.hsa.rei.d.12.q.a1.sli.24 - Consider the linear equation .9x - 3y = 12.

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ccss.hsa.rei.d.12.q.a1.sli.24 hsa-rei.d.12 solutions to the equation solutions to the inequality

Anonymous

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The pair (3,5) is a solution to the equation. Find another pair (x, y) that is a solution to the equation.
Are (3,5) and (2,-10) solutions to the inequality ? Explain how you know.

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

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Plug in the points (3,5) in the equation to know if it is a solution. 9 \cdot 3 - 3 \cdot 5 = 27 - 15 = 12. Since the points (3,5) satisfies the given equation, so it is a solution. Another solution can be (5,3). Plugging in (1,-1) we get 9 \cdot 1 - 3 \cdot -1 = 9 + 3 = 12. A few other solutions are (2,2), (0,-4) and (-1,-7).
(3,5) is a solution but (2,-10) is not because plugging in (2,-10) in 9x - 3y = 12 gives 9 \cdot 2 - 3\cdot -10 = 18+30 = 48.