Answer:
{x = 7 , y = -4
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = 13 | (equation 1)
{x + 2 y = -1 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 13 | (equation 1)
{0 x+(4 y)/3 = (-16)/3 | (equation 2)
Multiply equation 2 by 3/4:
{3 x + 2 y = 13 | (equation 1)
{0 x+y = -4 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 21 | (equation 1)
{0 x+y = -4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 7 | (equation 1)
{0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 7 , y = -4
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Answer: a11 = 3, a12 = 7, a21 = 1, a22 = -4
<u>Explanation:</u>
3x + 7y = 20
x - 4y = 9
A = ![\left[\begin{array}{ccc}3&7&20\\1&-4&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%267%2620%5C%5C1%26-4%269%5Cend%7Barray%7D%5Cright%5D)
<u>column 1 </u> <u>column 2</u>
row 1: (a11) 3 (a12) 7
row 2: (a21) 1 (a22) -4
