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mel-nik [20]
3 years ago
13

Solve the system of equations. X-3y=-6 2 = y + 3 X = y =

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
<h3><u>  x - 3y = -6</u></h3><h3><u> 2x - y = 3</u></h3><h3><u> -3y + x = -6        y + 2x = 3  </u></h3><h3><u></u></h3><h3><u></u></h3><h3><u>  </u></h3><h3><u> </u></h3><h3><u>Solve by Substitution :</u></h3><h3><u>// Solve equation [1] for the variable  x </u></h3><h3><u> </u></h3><h3><u></u></h3><h3><u>  [1]    x = 3y - 6</u></h3><h3><u></u></h3><h3><u>// Plug this in for variable  x  in equation [2]</u></h3><h3><u></u></h3><h3><u>   [2]    2•(3y-6) - y = 3</u></h3><h3><u>   [2]    5y = 15</u></h3><h3><u>// Solve equation [2] for the variable  y </u></h3><h3><u></u></h3><h3><u></u></h3><h3><u>   [2]    5y = 15 </u></h3><h3><u></u></h3><h3><u>   [2]    y = 3 </u></h3><h3><u>// By now we know this much :</u></h3><h3><u></u></h3><h3><u>    x = 3y-6</u></h3><h3><u>    y = 3</u></h3><h3><u>// Use the  y  value to solve for  x </u></h3><h3><u></u></h3><h3><u>    x = 3(3)-6 = 3 </u></h3><h3><u>Solution :</u></h3><h3><u> {x,y} = {3,3} </u></h3>

<u></u>

<u>-FrxziteTheLxoser- Hoped this help! :)</u>

<u>If you dont understand the answer is {x,y = {3,3} </u>

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