Question

Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.

A) 3x-2y= 12
B) -3x-2y= 12
C) 15x+10y= -60
D) 6x+2y= -12
E) 6x+4y= -24
F) 1.5x+y= -6
G) x+ 2/3 y= -12

Answer 1

B, C, E, F

Explanation:

Multiplying the equation by a constant does not change the solution set. When some terms are changed and others are not, the equation is a different equation.

A) different equation

B) multiplied by -1

C) multiplied by 5

D) different equation

E) multiplied by 2

F) multiplied by 1/2

G) different equation

Answer 2

ANSWER


`B,C,E \: and \: F`



EXPLANATION

The given equation is

`3x + 2y = - 12`

The solution to this equation can be found by making y the subject.


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This equation has infinitely many solution. Any real value we choose for x, there is a corresponding y-value.



To find which of the given options also has the same solution, we make y the subject.


A


`3x - 2y = 12`



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This is not the same as the given equation.


B



`- 3x - 2y = 12`



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This solution is the same as the one given.




C.

`15x + 10y = - 60`



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This is the same as the above solution.


D.

`6x + 2y = - 12`




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This is not the same as the one given.


E.


`6x + 4y = - 24`



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This is the same as the one given.


F.


`1.5x + y = - 6`



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Thus is the same as the one given.



G.

`x + (2)/(3) y = - 12`



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This is not the same as the one given.