Question

1. x - 9y = 0

x - 4y = -5

Explanation:

Step1: Subtract the two equations to eliminate \(x\)

We have the system:

$$
LATEXBLOCK0
$$

Subtract equation \((1)\) from equation \((2)\):

$$
LATEXBLOCK1
$$

Step2: Solve for \(y\)

Divide both sides of \(5y = -5\) by \(5\):

$$ y=\frac{-5}{5}=-1 $$

Step3: Substitute \(y = - 1\) into equation \((1)\) to find \(x\)

Substitute \(y=-1\) into \(x - 9y = 0\):

$$
LATEXBLOCK2
$$

Answer:

The solution of the system is \(x = - 9\), \(y=-1\)