Question

solve the system of linear equations by substitution.\
$-5x + 3y = 51$\
$y = 10x - 8$\
$(\square, \square)$

Explanation:

Step1: Substitute $y=10x-8$ into first equation

$-5x + 3(10x - 8) = 51$

Step2: Expand and simplify the equation

$-5x + 30x - 24 = 51$
$25x - 24 = 51$

Step3: Solve for $x$

$25x = 51 + 24$
$25x = 75$
$x = \frac{75}{25} = 2$

Step4: Substitute $x=2$ into $y=10x-8$

$y = 10(2) - 8 = 20 - 8 = 12$

Answer:

$(2, 12)$