Question

6x-3y=-10;3x+5y-8=0 cramer method

Answer 1

Hey frnd...hope it helps☺

Answer 2

Answer:

The solution of the system of equations is (-0.667,2).

Step-by-step explanation:

The given equations are

$6x-3y=-10$

$3x+5y=8$

Coefficient matrix is

$D=\left[\begin{array}{cc}6&-3\\3&5\end{array}\right]$

$|D|=6\times 5-(-3)\times 3=30+9=39$

$D_x=\left[\begin{array}{cc}-10&-3\\8&5\end{array}\right]$

$|D_x|=-10\times 5-(-3)\times 8=-50+24=-26$

$D_y=\left[\begin{array}{cc}6&-10\\3&8\end{array}\right]$

$|D_y|=6\times 8-(-10)\times 3=48+30=78$

$x=\frac{|D_x|}{|D|}=\frac{-26}{39}=-0.667$

$y=\frac{|D_y|}{|D|}=\frac{78}{39}=2$

Therefore the solution of the system of equations is (-0.667,2).