Question

x + y = 9
6x - 5y = 10

Explanation:

Step1: Solve the first equation for x

From \(x + y = 9\), we get \(x = 9 - y\).

Step2: Substitute x into the second equation

Substitute \(x = 9 - y\) into \(6x - 5y = 10\):

$$
LATEXBLOCK0
$$

Step3: Solve for y

$$
LATEXBLOCK1
$$

Step4: Substitute y back to find x

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

Answer:

\(x = 5\), \(y = 4\)