IshaGrayAZ
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heather has to solve this system of equations using elimination. what should be her first step?

a. isolate the x in the second equation so that she can substitute into the first equation

b. solve both equations for y so that she can easily graph the equations and find the point of intersection

c. multiply the second equatuon by 3 so that the x's have the same coefficient to then add the two equations together

d. multiply the second equation by -3 so that the x's have the opposite coefficients to then add the two equations together

heather has to solve this system of equations using elimination what should be her first stepa isolate the x in the second equation so that she can substitute i class=

Respuesta :

Michael845313

Answer:


The answer is D) multiply the second equation by -3 so that the x's have the opposite coefficients to then add the two equations together

TRUST ME!  

I took USATestPrep and I got it wrong by choosing answer choice A from  

Laurenercsp6fpli answer!



boffeemadrid

Answer:

(D) multiply the second equation by -3 so that the x's have the opposite coefficients to then add the two equations together

Step-by-step explanation:

The given system of equations are:

[tex]3x+6y=12[/tex]                                     (1)

and [tex]x+5y=10[/tex]                               (2)

Upon solving the given system of equations, multiply the second equation by -3 so that the x's have the opposite coefficients to then add the two equations together such that

[tex]3x+6y=12[/tex]  

[tex]-3x-15y=-30[/tex]  

Adding the above equations, we get

[tex]-9y=-18[/tex]

⇒[tex]y=2[/tex]

Substituting the value of y=2 in equation (1), we have

⇒[tex]3x+6(2)=12[/tex]

⇒[tex]3x+12=12[/tex]

⇒[tex]3x=0[/tex]

⇒[tex]x=0[/tex]

Hence, option D is correct.

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