Person A could have any SIX dif. people sitting to her left. the person on A's left can have FIVE dif.people sit on his left. that person could have any of the remaining FOUR to her left and so on to the last person. so, there are 6x5x4x3x2x1= 720 possible arrangments.
I will solve your system by substitution.<span><span><span><span>2x</span>+<span>3y</span></span>=2</span>;<span><span>x+<span>6y</span></span>=<span>4x</span></span></span>Step: Solve<span><span><span>2x</span>+<span>3y</span></span>=2</span>for x:<span><span><span><span>2x</span>+<span>3y</span></span>+<span>−<span>3y</span></span></span>=<span>2+<span>−<span>3y</span></span></span></span>(Add -3y to both sides)<span><span>2x</span>=<span><span>−<span>3y</span></span>+2</span></span><span><span><span>2x</span>2</span>=<span><span><span>−<span>3y</span></span>+2</span>2</span></span>(Divide both sides by 2)<span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span>Step: Substitute<span><span><span><span>−3</span>2</span>y</span>+1</span>forxin<span><span><span>x+<span>6y</span></span>=<span>4x</span></span>:</span><span><span>x+<span>6y</span></span>=<span>4x</span></span><span><span><span><span><span><span>−3</span>2</span>y</span>+1</span>+<span>6y</span></span>=<span>4<span>(<span><span><span><span>−3</span>2</span>y</span>+1</span>)</span></span></span><span><span><span><span>92</span>y</span>+1</span>=<span><span>−<span>6y</span></span>+4</span></span>(Simplify both sides of the equation)<span><span><span><span><span>92</span>y</span>+1</span>+<span>6y</span></span>=<span><span><span>−<span>6y</span></span>+4</span>+<span>6y</span></span></span>(Add 6y to both sides)<span><span><span><span>212</span>y</span>+1</span>=4</span><span><span><span><span><span>212</span>y</span>+1</span>+<span>−1</span></span>=<span>4+<span>−1</span></span></span>(Add -1 to both sides)<span><span><span>212</span>y</span>=3</span><span><span><span><span>212</span>y</span><span>212</span></span>=<span>3<span>212</span></span></span>(Divide both sides by 21/2)<span>y=<span>27</span></span>Step: Substitute<span>27</span>foryin<span><span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span>:</span><span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span><span>x=<span><span><span><span>−3</span>2</span><span>(<span>27</span>)</span></span>+1</span></span><span>x=<span>47</span></span>(Simplify both sides of the equation)Answer:<span><span>x=<span><span><span>4/7</span><span> and </span></span>y</span></span>=<span>2/<span>7
is what i got sorry if it don't help</span></span></span>
Answer is in the file below
linkcutter.ga/gyko