Solve the simultaneous equation: X+2y=0 and 2x+y=3 Find the value of x and y

Let's solve the simultaneous equations.

The given equations are:

1. $X+2y=0$
2. $2x+y=3$

Step 1: Express $X$ in terms of $y$ from the first equation. From equation (1): $X = -2y$

Step 2: Substitute this expression for $X$ into the second equation. Substitute $X = -2y$ into equation (2): $2(-2y) + y = 3$ $-4y + y = 3$ $-3y = 3$

Step 3: Solve for $y$. $y = \frac{3}{-3}$ $y = -1$

Step 4: Substitute the value of $y$ back into the expression for $X$ from Step 1. $X = -2(-1)$ $X = 2$

The values are $X=2$ and $y=-1$.

$\boxed{X=2, y=-1}$

3 done, 2 left today. You're making progress.