Question

the point of intersection of the two
your answers by graphing them.
\

$$\begin{cases} 2x - 3y = 12 \\\\ 2x - y = 0 \\end{cases}$$

Explanation:

Step1: Solve the second equation for y

From \(2x - y = 0\), we can rewrite it as \(y = 2x\).

Step2: Substitute y into the first equation

Substitute \(y = 2x\) into \(2x - 3y = 12\). So we have \(2x - 3(2x)=12\).
Simplify the left side: \(2x - 6x = 12\), which is \(-4x = 12\).

Step3: Solve for x

Divide both sides of \(-4x = 12\) by \(-4\). We get \(x=\frac{12}{-4}=- 3\).

Step4: Solve for y

Substitute \(x = - 3\) into \(y = 2x\). Then \(y=2\times(-3)=-6\).

Answer:

The point of intersection is \((-3,-6)\)