Question

question 3 of 10
add the equations.
\\(\

$$\begin{align}2x - 3y &= -1 \\\\ + \\ 3x + 3y &= 26\\end{align}$$

\\)
\\(\boxed{}\\)
\\(\bigcirc\\) a. \\(5x = 25\\)
\\(\bigcirc\\) b. \\(6y = 25\\)
\\(\bigcirc\\) c. \\(5x - 6y = -27\\)
\\(\bigcirc\\) d. \\(5x = 27\\)

Explanation:

Step1: Add x-terms

To add the equations \(2x - 3y = -1\) and \(3x + 3y = 26\), we first add the \(x\)-terms. The \(x\)-terms are \(2x\) and \(3x\). So, \(2x + 3x = (2 + 3)x = 5x\).

Step2: Add y-terms

Next, we add the \(y\)-terms. The \(y\)-terms are \(-3y\) and \(3y\). So, \(-3y + 3y = (-3 + 3)y = 0y\) (which means the \(y\)-terms cancel out).

Step3: Add constant terms

Then, we add the constant terms. The constant terms are \(-1\) and \(26\). So, \(-1 + 26 = 25\).

Step4: Combine results

Putting it all together, the sum of the two equations is \(5x + 0y = 25\), which simplifies to \(5x = 25\).

Answer:

A. \(5x = 25\)