Question

1. \\( y = 5x - 9 \\)\\( -2x - 3y = -7 \\)

Explanation:

Step1: Substitute y into second equation

Substitute $y = 5x - 9$ into $-2x - 3y = -7$:
$$-2x - 3(5x - 9) = -7$$

Step2: Expand and simplify the equation

$$-2x - 15x + 27 = -7$$
$$-17x + 27 = -7$$

Step3: Solve for x

Subtract 27 from both sides:
$$-17x = -7 - 27$$
$$-17x = -34$$
Divide by -17:
$$x = \frac{-34}{-17} = 2$$

Step4: Solve for y using x=2

Substitute $x=2$ into $y = 5x - 9$:
$$y = 5(2) - 9 = 10 - 9 = 1$$

Answer:

$x=2$, $y=1$