Question

Examine the system of equations. 6x + y = −30, 36x + 6y = 24
Which statement is true about the system of equations?

A) After solving this system, you get a true statement.
B) This system has one solution.
C) If this system were graphed, the lines would be parallel.
D) The equations in this system have the same y-intercept.

Answer 1

y = mx + b

6x + y = -30
y = - 6x - 30

36x + 6y = 24
6y = 24-36x
y = - 6x + 4

The answer is C.

Hope this helps.

Answer 2

For the given system equations, 6x+y=-30 and 36x+6y=24, Option C follows the above equations.

The slop of the given system equations will be the same hence both the lines will be parallel to each other.

System Equations

An algebraic equation that is in the form of y= mx + b having only a constant and a first-order term is called a linear or system equation.  

$y = mx + b$

Where m is the slope and b is the y-intercept.

Given equations are $6x + y = -30$ and $36 x + 6y = 24$.

Let reframe these equations into the standard form.

$y = -6x -30$  and $6y = -36 x +24$

$y = -6x -30$ and $y = -6x + 4$

The above system equation shows that the slop of both the lines will be the same. Hence both the lines will be parallel to each other.

Hence we can conclude that statement C will be true about the given system equations.

To know more about the system equation, follow the link given below.

https://brainly.com/question/12895249.