Question

solve the system of equations using the linear combination method.\

$$\begin{cases}4x - 3y = 12\\\\7x - 3y = 3\\end{cases}$$

\
enter your answers in the boxes.\
x = \square\
y = \square

Explanation:

Step1: Subtract equations to eliminate $y$

$(7x - 3y) - (4x - 3y) = 3 - 12$
$7x - 3y - 4x + 3y = -9$
$3x = -9$

Step2: Solve for $x$

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

Step3: Substitute $x=-3$ into first equation

$4(-3) - 3y = 12$
$-12 - 3y = 12$

Step4: Solve for $y$

$-3y = 12 + 12$
$-3y = 24$
$y = \frac{24}{-3} = -8$

Answer:

$x = -3$
$y = -8$