Question

Solve each system(-10x-15y=25)(X-5Y=-9)

Answer 1

Given the system of equations:

$\begin{gathered} -10x-15y=25\rightarrow(1) \\ x-5y=-9\rightarrow(2) \end{gathered}$

From equation (2), solve for x:

$x=5y-9\rightarrow(3)$

Substitute with (x) from equation (3) into equation (1) then solve for (y):

$\begin{gathered} -10(5y-9)-15y=25 \\ -50y+90-15y=25 \\ -65y=25-90 \\ -65y=-65 \\ y=\frac{-65}{-65}=1 \end{gathered}$

Substitute with (y) into equation (3) to find the value of (x):

$\begin{gathered} x=5\cdot1-9=5-9 \\ x=-4 \end{gathered}$

So, the answer will be:

$\begin{gathered} x=-4 \\ y=1 \\ (x,y)=(-4,1) \end{gathered}$