Question

use substitution to solve the system.
$-3x+5y = 19$
$2x+1 = y$
$x = square$
$y = square$

Explanation:

Step1: Substitute $y=2x+1$ into first equation

$-3x + 5(2x+1) = 19$

Step2: Expand and simplify left side

$-3x + 10x + 5 = 19$
$7x + 5 = 19$

Step3: Isolate $x$ term

$7x = 19 - 5$
$7x = 14$

Step4: Solve for $x$

$x = \frac{14}{7} = 2$

Step5: Substitute $x=2$ into $y=2x+1$

$y = 2(2) + 1 = 5$

Answer:

$x = 2$
$y = 5$