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Which ordered pair is a solution of the equation?

-x-4y=-10
Choose 1 answer:
(A) Only 
(3,2)
(B) Only 
(-3,3)
(c) Both 
(3,2) and 
(-3,3)
(D) Neither

Which ordered pair is a solution of the equation?\newlinex4y=10-x-4 y=-10\newlineChoose 11 answer:\newline(A) Only (3,2) (3,2) \newline(B) Only (3,3) (-3,3) \newline(C) Both (3,2) (3,2) and (3,3) (-3,3) \newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newlinex4y=10-x-4 y=-10\newlineChoose 11 answer:\newline(A) Only (3,2) (3,2) \newline(B) Only (3,3) (-3,3) \newline(C) Both (3,2) (3,2) and (3,3) (-3,3) \newline(D) Neither
  1. Test 3,23,2: Step 11: Let's test the ordered pair 3,23,2 to see if it is a solution to the equation \$-x\(-4\)y=\(-10\)\$. Substituting \$x=\(3\)\$ and \$y=\(2\)\$ into the equation gives us \$\(-3\)\(-4\)(\(2\))=\(-10\)\$. Simplifying, we get \$\(-3\)\(-8\)=\(-11\)\$, which is not equal to \$\(-10\)\$. Therefore, \(3,2\) is not a solution to the equation.
  2. Test \( (-3,3) \): Step \(2\): Next, we will test the ordered pair \( (-3,3) \). Substituting \( x=-3 \) and \( y=3 \) into the equation \( -x-4y=-10 \) gives us \( -(-3)-4(3)=-10 \). Simplifying, we get \( 3-12=-9 \), which is also not equal to \( -10 \). Therefore, \( (-3,3) \) is not a solution to the equation.
  3. Conclusion: Step \(3\): Since neither \((3,2)\) nor \((-3,3)\) satisfy the equation \(-x-4y=-10\), the correct answer is that neither of these ordered pairs is a solution.

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