Question

x - 5y = 15
7x - 9y = 1
(□, □)
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Explanation:

Step1: Solve the first equation for x

From \( x - 5y = 15 \), we can express \( x \) in terms of \( y \) as \( x = 5y + 15 \).

Step2: Substitute x into the second equation

Substitute \( x = 5y + 15 \) into \( 7x - 9y = 1 \):
\[

$$\begin{align*} 7(5y + 15) - 9y &= 1\\ 35y + 105 - 9y &= 1\\ 26y + 105 &= 1 \end{align*}$$

\]

Step3: Solve for y

Subtract 105 from both sides:
\[
26y = 1 - 105 = -104
\]
Divide both sides by 26:
\[
y = \frac{-104}{26} = -4
\]

Step4: Substitute y back to find x

Substitute \( y = -4 \) into \( x = 5y + 15 \):
\[
x = 5(-4) + 15 = -20 + 15 = -5
\]

Answer:

\((-5, -4)\)