Question

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

Explanation:

Step1: Subtract corresponding terms

Subtract the left - hand side (LHS) of the second equation from the LHS of the first equation and the right - hand side (RHS) of the second equation from the RHS of the first equation.
For the \(x\) - terms: \(5x-5x = 0\)
For the \(y\) - terms: \(4y - 2y=2y\)
For the constant terms: \(25 - 3 = 22\)

Step2: Form the resulting equation

Putting the results together, we get the equation \(2y=22\)

Answer:

C. \(2y = 22\)