Question

subtract the equations.
$5x + 4y = 25$
$\underline{\\ \\ \\ -(5x + 2y = 3)\\ \\ }$
\boxed{}
\bigcirc a. $2y = 22$
\bigcirc b. $-10x = 28$
\bigcirc c. $6y = 28$
\bigcirc d. $10x = 28$

Explanation:

Step1: Distribute the subtraction

Subtract each term of the second equation from the first: \( (5x + 4y) - (5x + 2y) = 25 - 3 \)

Step2: Simplify each part

For \( x \)-terms: \( 5x - 5x = 0 \)
For \( y \)-terms: \( 4y - 2y = 2y \)
For constants: \( 25 - 3 = 22 \)
So we get \( 2y = 22 \)

Answer:

A. \( 2y = 22 \)