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

answer is c

Explanation:

An algebraic equation that is in the form of y= mx + b having only a constantand a first-order term is called a linear or system equation. Where m is the slope and b is the y-intercept.Given equations are and .Let reframe these equations into the standard form. and and 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.

Answer 2

C is a true statement

*View the attached graph*

Explanation:

6x + y = −30 and 36x + 6y = 24

6x + y = −30

-6x -6x

y = -6x - 30

36x + 6y = 24

-36x -36x

6y = -36x + 24

`(6y)/(6) =(-36x+24)/(6)`

y = -6x + 4

If this system were graphed, the lines would be parallel.

Hope this helps!