If 2x + 3y = 5 and x is equal to y, what is the value of x + y?

Question

50%
CORE
(A) -4
(B) -2
(C) 2
(D) 8
(E) 12

Answer 1

To solve for the value of \( x + y \) under the condition that \( x = y \), we start with the given equation:

\[ 2x + 3y = 5 \]

Substituting \( y \) with \( x \) (since \( x = y \)):

\[ 2x + 3x = 5 \]

Combine like terms:

\[ 5x = 5 \]

Now, divide both sides by 5:

\[ x = 1 \]

Since \( x = y \), we also have:

\[ y = 1 \]

Now we can find \( x + y \):

\[ x + y = 1 + 1 = 2 \]

Thus, the value of \( x + y \) is:

\[ \boxed{2} \]