Question

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

Answer 1

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Explanation:

Answer 2

The correct answer is Option C:
`2x-3(-3x-4)=-21`

Explanation:

The given equations are:

`y + 3x =-4\ \ \ Eqn\ 1\\2x-3y =-21\ \ \ Eqn\ 2`

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

`y +3x = -4\\y = -3x-4\\`

This value of y will be put in equation 2

`2x-3(-3x-4)=-21`

It is the C option in choices

Hence,

The correct answer is Option C:
`2x-3(-3x-4)=-21`