حل المعاددلة

Question 1

حل المعادلة

$7x+3y=37$

$-5x-7y=-41$

Question 2

$7x+3y=37$

$-5x-7y=-41$

$\begin{vmatrix} C \end{vmatrix}=\begin{vmatrix} 7 & \\ -5& -7 \end{vmatrix}=7(-7)-3(-5)=-49-(-15)=-34$

$x=\frac{\begin{vmatrix} 37 &3 \\ -41& -7 \end{vmatrix}}{-34}=\frac{37(-7)-3(-41)}{-34}=\frac{-136}{-34}=4$

$y=\frac{\begin{vmatrix} 7 & 37\\ -5& -41 \end{vmatrix}}{-34}=\frac{7(-41)-37(-5)}{-34}=\frac{-102}{-34}=3$

$\left ( x,y \right )=\left ( 4,3 \right )$

Ghada Abumaraseh · Answer 1 · 2021-10-06T07:45:51+0000

$7x+3y=37$

$-5x-7y=-41$

$\begin{vmatrix} C \end{vmatrix}=\begin{vmatrix} 7 & \\ -5& -7 \end{vmatrix}=7(-7)-3(-5)=-49-(-15)=-34$

$x=\frac{\begin{vmatrix} 37 &3 \\ -41& -7 \end{vmatrix}}{-34}=\frac{37(-7)-3(-41)}{-34}=\frac{-136}{-34}=4$

$y=\frac{\begin{vmatrix} 7 & 37\\ -5& -41 \end{vmatrix}}{-34}=\frac{7(-41)-37(-5)}{-34}=\frac{-102}{-34}=3$

$\left ( x,y \right )=\left ( 4,3 \right )$