Question

quations using substitution

1. \

$$\begin{cases}3x - 6 = y\\\\9x - 2y = 3\\end{cases}$$

Explanation:

Step1: Substitute $y=3x-6$ into 2nd equation

$9x - 2(3x - 6) = 3$

Step2: Expand and simplify the equation

$9x - 6x + 12 = 3$
$3x + 12 = 3$

Step3: Solve for $x$

$3x = 3 - 12$
$3x = -9$
$x = \frac{-9}{3} = -3$

Step4: Substitute $x=-3$ into $y=3x-6$

$y = 3(-3) - 6$

Step5: Calculate the value of $y$

$y = -9 - 6 = -15$

Answer:

$x=-3$, $y=-15$