To solve this system of equations step-by-step, we start with the given equations:
[tex]\[
\begin{array}{l}
y = 3x \\
2x + 3y = 55 \\
\end{array}
\][/tex]
We need to substitute the expression for [tex]\( y \)[/tex] from the first equation into the second equation.
1. From the first equation [tex]\( y = 3x \)[/tex], substitute [tex]\( 3x \)[/tex] for [tex]\( y \)[/tex] in the second equation:
[tex]\[
2x + 3(3x) = 55
\][/tex]
2. Now simplify the equation by combining like terms:
[tex]\[
2x + 9x = 55
\][/tex]
3. Combine the like terms on the left side:
[tex]\[
11x = 55
\][/tex]
So, the result of substituting the first equation into the second equation and combining like terms is:
[tex]\[
11x = 55
\][/tex]
Thus, the correct answer is:
B. [tex]\( 11x = 55 \)[/tex]
