Which of the following are equations for the line shown below? Check all that

Mathematics

1 answer:

marissa [1.9K]1 year ago

6 0

Answer:

<u> $\fbox{ Correct Answer Option B \& D}$ </u>

Step-by-step explanation:

Hello, to be the correct equation of line the given equation must satisfy all the points lying on that line.

I've solved all the equation for given both the points and concluded Option B & C are the correct equation for the line. The image of solution I'm attaching with this answer.

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$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$