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Math  /  Algebra

QuestionQuestion 5 of 10
Add the equations. 3x−y=−1+−3x+3y=27□\begin{array}{r} 3 x-y=-1 \\ +-3 x+3 y=27 \\ \hline \square \end{array} A. −2y=−28-2 y=-28 B. 6x−4y=−286 x-4 y=-28 C. 4y=284 y=28 D. 2y=262 y=26

Studdy Solution

STEP 1

1. We are given two linear equations and asked to add them.
2. The goal is to find the resulting equation after addition.

STEP 2

1. Align and add the equations term by term.
2. Simplify the resulting equation.

STEP 3

Align the equations vertically by their respective terms:
3x−y=−1−3x+3y=27\begin{array}{r} 3x - y = -1 \\ -3x + 3y = 27 \\ \hline \end{array}

STEP 4

Add the equations term by term:
- Add the xx terms: 3x+(−3x)=03x + (-3x) = 0 - Add the yy terms: −y+3y=2y-y + 3y = 2y - Add the constant terms: −1+27=26-1 + 27 = 26
The resulting equation is:
0+2y=26 0 + 2y = 26
Which simplifies to:
2y=26 2y = 26
The correct answer is:
2y=26 \boxed{2y = 26}

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