Question

the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95, Find the numbers

Answer 1

$\left \{ {{7*x - 3*y=25} \atop {2*x + 5*y=95}} \right.$

$\left \{ {{7x - 3y=25}(I) \atop {2x + 5y=95}(II)} \right.$

$\left \{ {{7x - 3y=25}simplify*(5) \atop {2x + 5y=95}simplify*(3)} \right.$

$\left \{ {{35x - \diagup\!\!\!\! 15 y=125} \atop {6x + \diagup\!\!\!\! 15y=285}} \right.$

$\left \{ {{35x =125} \atop {6x =285}} \right.$

$41x = 410$

$\boxed{x=10}$

Replace the value of "x" in the second equation (II) to find the value of "y", thus:
$2x + 5y=95$
$2*(10)+5y = 95$
$20+5y=95$
$5y=95-20$
$5y=75$
$y = \frac{75}{5}$
$\boxed{y=15}$


The numbers (10,15)