Question

Determine whether the ordered pairs given are solutions to the accompanying system. $$\left\{\begin{array}{l}8 y+7 x \geq 56 \\ 3 y-4 x \geq-12 \\ y \geq 4 ;(1,5),(4,6),(8,5),(5,3)\end{array}\right.$$

          Determine whether the ordered pairs given are solutions
to the accompanying system.
$$\left\{\begin{array}{l}8 y+7 x \geq 56 \\ 3 y-4 x \geq-12 \\ y \geq 4 ;(1,5),(4,6),(8,5),(5,3)\end{array}\right.$$

Added by Mercedes L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Eric Carlsen

Step 1

Now, let's check the ordered pair (4,6): $$8(6)+7(4) \geq 56 \Rightarrow 48+28 \geq 56 \Rightarrow 76 \geq 56$$ $$3(6)-4(4) \geq -12 \Rightarrow 18-16 \geq -12 \Rightarrow 2 \geq -12$$ $$6 \geq 4$$ All inequalities are true, so (4,6) is a solution. Show more…

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Determine whether the ordered pairs given are solutions to the accompanying system. $$\left\{\begin{array}{l}8 y+7 x \geq 56 \\ 3 y-4 x \geq-12 \\ y \geq 4 ;(1,5),(4,6),(8,5),(5,3)\end{array}\right.$$