Question

4b. solve the system of equations.\

$$\begin{cases}-x + 3y = -3\\\\2x - 6y = 6\\end{cases}$$

\bigcirc (-6, 1)\bigcirc (6, 1)\bigcirc infinitely many solutions (same line)\bigcirc (-1, 6)\bigcirc no solution (parallel lines)\bigcirc (1, 6)\\5a. by what number should the top equation by multiplied by so that wh the equations are combined, the ys are eliminated?

Explanation:

Step1: Simplify the first equation

Multiply first equation by -2:
$$-2(-x + 3y) = -2(-3)$$
$$2x - 6y = 6$$

Step2: Compare with second equation

The simplified first equation is identical to the second equation $2x - 6y = 6$, meaning they represent the same line.

Answer:

infinitely many solutions (same line)