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 \( 7x - 9y = 1 \):

$$
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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:

\((-5, -4)\)