Question

solve the system of equations.
8x - 3y = 3
3x - 2y = -5
(□,□)

Explanation:

Step1: Eliminate $y$ via scaling

Multiply first eq by 2: $16x - 6y = 6$
Multiply second eq by 3: $9x - 6y = -15$

Step2: Subtract scaled equations

$(16x - 6y) - (9x - 6y) = 6 - (-15)$
$7x = 21$

Step3: Solve for $x$

$x = \frac{21}{7} = 3$

Step4: Substitute $x=3$ to find $y$

Use $3x - 2y = -5$: $3(3) - 2y = -5$
$9 - 2y = -5$
$-2y = -14$
$y = 7$

Answer:

$(3, 7)$