Question

x + 3y = 4\
5x + 4y = -13

Explanation:

Step1: Solve for x from first equation

From \(x + 3y = 4\), we get \(x = 4 - 3y\).

Step2: Substitute x into second equation

Substitute \(x = 4 - 3y\) into \(5x + 4y = -13\):
\(5(4 - 3y) + 4y = -13\)
\(20 - 15y + 4y = -13\)
\(20 - 11y = -13\)
\(-11y = -33\)
\(y = 3\).

Step3: Find x using y

Substitute \(y = 3\) into \(x = 4 - 3y\):
\(x = 4 - 3(3) = 4 - 9 = -5\).

Answer:

\(x = -5\), \(y = 3\)