Question

solve the system of linear equations by substitution.
$5x + 2y = 9$
$x + y = -3$

Explanation:

Step1: Isolate $x$ from second equation

$x = -3 - y$

Step2: Substitute $x$ into first equation

$5(-3 - y) + 2y = 9$

Step3: Simplify and solve for $y$

$-15 - 5y + 2y = 9$
$-3y = 24$
$y = -8$

Step4: Substitute $y$ back to find $x$

$x = -3 - (-8) = 5$

Answer:

$(5, -8)$