Question

linear equation for , the differences between 2 number is 18 ,if their sum is 86 what is the number.

Answer 1

Hello!

We have the following linear system:

$\left \{ {{x-y=18} \atop {x+y=86}}\right.$

Solution:

$\left \{ {{x-y=18\:\:(I)} \atop {x+y=86\:\:(II)}}\right.$

$\left \{ {{x-\diagup\!\!\!\!y=18} \atop {x+\diagup\!\!\!\!y=86}} \right.$

$\left \{ {{x=18} \atop {x=86}} \right.$

$2x = 104$

$x = \dfrac{104}{2}$

$\boxed{\boxed{x = 52}}\end{array}}\qquad\checkmark$

Now, let's find the value of "y" replacing in the second equation (II):

$x+y=86$

$52 + y = 86$

$y = 86 - 52$

$\boxed{\boxed{y = 34}}\end{array}}\qquad\checkmark$

Answer:

$S = (x,y)$

$S = (52,34)$

__________________________

I Hope this helps, greetings ... Dexteright02! =)