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Using the substitution method, Vito is solving the following system of equations algebraically:
y + 3x =-4
2x – 3y =-21
Which equivalent equation could Vito use?
A) 2(-3x - 4) + 3x =- 21
B) 2(3x - 4) + 3x =- 21
C) 2x - 3(-3x – 4) =- 21
D) 2x - 3(3x - 4) =- 21

Respuesta :

absor201

Answer:

The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]

Step-by-step explanation:

The given equations are:

[tex]y + 3x =-4\ \ \ Eqn\ 1\\2x-3y =-21\ \ \ Eqn\ 2[/tex]

The equations have to be solved using substitution method. In substitution method we find the value of a variable from one equation and put it in the other equation.

To find the value, we usually choose the equation in which a variable without any coefficient is available.

From equation 1

[tex]y +3x = -4\\y = -3x-4\\[/tex]

This value of y will be put in equation 2

[tex]2x-3(-3x-4)=-21[/tex]

It is the C option in choices

Hence,

The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]

alveenasaji61

Answer:

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Step-by-step explanation:

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