Question

1. \\(x + y = 75\\)\\(10x + y = 48\\)

Explanation:

Step1: Subtract equations to eliminate y

Subtract the first equation from the second:
$$(10x + y) - (x + y) = 48 - 75$$
$$9x = -27$$

Step2: Solve for x

Divide both sides by 9:
$$x = \frac{-27}{9} = -3$$

Step3: Substitute x into first equation

Plug $x=-3$ into $x + y = 75$:
$$-3 + y = 75$$

Step4: Solve for y

Add 3 to both sides:
$$y = 75 + 3 = 78$$

Answer:

$x=-3$, $y=78$