Question

solve the system by substitution.\\(-7x - 5y = 36\\)\\(x = 2y + 3\\)

Explanation:

Step1: Substitute $x=2y+3$ into first equation

$-7(2y+3) - 5y = 36$

Step2: Expand and simplify left side

$-14y -21 -5y = 36$
$-19y -21 = 36$

Step3: Isolate the $y$-term

$-19y = 36 + 21$
$-19y = 57$

Step4: Solve for $y$

$y = \frac{57}{-19} = -3$

Step5: Substitute $y=-3$ into $x=2y+3$

$x = 2(-3) + 3$

Step6: Calculate the value of $x$

$x = -6 + 3 = -3$

Answer:

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