Question

solve the system by substitution.
-2x - 4y = -18
x = y

Explanation:

Step1: Substitute \( x = y \) into the first equation

We have the first equation \(-2x - 4y=-18\). Since \( x = y \), we can replace \( x \) with \( y \) in this equation. So the equation becomes \(-2y-4y = -18\).

Step2: Combine like terms

Combine the \( y \)-terms on the left side: \(-2y-4y=-6y\), so the equation is \(-6y=-18\).

Step3: Solve for \( y \)

Divide both sides of the equation \(-6y = -18\) by \(-6\). We get \( y=\frac{-18}{-6}=3\).

Step4: Find \( x \)

Since \( x = y \), then \( x = 3 \) as well.

Answer:

The solution to the system is \( x = 3 \), \( y = 3 \) or in ordered pair form \((3,3)\)