Question

what is the y - value of the solution to the system of equations?
$3x + 5y = 1$
$7x + 4y = -13$

Explanation:

Step1: Eliminate x by multiplying equations

Multiply the first equation by 7: \(21x + 35y = 7\)
Multiply the second equation by 3: \(21x + 12y = -39\)

Step2: Subtract the equations to solve for y

Subtract the second new equation from the first:
\((21x + 35y) - (21x + 12y) = 7 - (-39)\)
Simplify: \(23y = 46\)

Step3: Solve for y

Divide both sides by 23: \(y = \frac{46}{23} = 2\)

Answer:

2