Question

1. $6x - 2y = 1$

$10x - 2y = 5$

Explanation:

Step1: Subtract equations to eliminate $y$

$$(10x - 2y) - (6x - 2y) = 5 - 1$$
$$10x - 2y - 6x + 2y = 4$$
$$4x = 4$$

Step2: Solve for $x$

$$x = \frac{4}{4} = 1$$

Step3: Substitute $x=1$ into first equation

$$6(1) - 2y = 1$$
$$6 - 2y = 1$$

Step4: Solve for $y$

$$-2y = 1 - 6$$
$$-2y = -5$$
$$y = \frac{-5}{-2} = \frac{5}{2}$$

Answer:

$x=1$, $y=\frac{5}{2}$