Question

1. a. use substitution to solve the system of equations.

$y = 5x + 2$
$12.5x + 2.5y = 5$

Explanation:

Step1: Substitute $y=5x+2$ into the second equation

$12.5x + 2.5(5x + 2) = 5$

Step2: Expand and simplify the equation

$12.5x + 12.5x + 5 = 5$
$25x + 5 = 5$

Step3: Solve for $x$

$25x = 5 - 5$
$25x = 0$
$x = 0$

Step4: Substitute $x=0$ into $y=5x+2$

$y = 5(0) + 2$

Answer:

$x=0$, $y=2$