which statements about the system are true? select two options.\ny = \\frac{1}{3}x - 4\n3y - x = -7\nthe…

which statements about the system are true? select two options.\ny = \\frac{1}{3}x - 4\n3y - x = -7\nthe system has one solution.\nthe system consists of parallel lines.\nboth lines have the same slope.\nboth lines have the same y - intercept.\nthe equations represent the same line.

which statements about the system are true? select two options.\ny = \\frac{1}{3}x - 4\n3y - x = -7\nthe system has one solution.\nthe system consists of parallel lines.\nboth lines have the same slope.\nboth lines have the same y - intercept.\nthe equations represent the same line.

Answer

Explanation:

Step1: Rewrite the second - equation in slope - intercept form

Given $3y - x=-7$, solve for $y$. Add $x$ to both sides: $3y=x - 7$. Then divide by 3: $y=\frac{1}{3}x-\frac{7}{3}$.

Step2: Analyze the slope and y - intercept of both equations

The first equation is $y = \frac{1}{3}x-4$, and the second equation is $y=\frac{1}{3}x-\frac{7}{3}$. The slope of both lines is $\frac{1}{3}$, so they are parallel (since parallel lines have the same slope).

Answer:

B. The system consists of parallel lines. C. Both lines have the same slope.