Question

GEOMETRY
HELP ASAP WITH EXPLANATION

Point C is located between points B and D. Also BC = 5x + 7, CD = 3y + 4, BD = 38, and BD = 2x + 8y. Find the values of x and y

Answer 1

$\\ \sf\longmapsto BD=38$

$\\ \sf\longmapsto 2x+8y=38$

$\\ \sf\longmapsto x+4y=19\dots(1)$

And

$\\ \sf\longmapsto BC+CD=BD$

$\\ \sf\longmapsto 5x+7+3y+4=38$

$\\ \sf\longmapsto 5x+3y+11=38$

$\\ \sf\longmapsto 5x+3y=27\dots(2)$

Lets go through graphical method(Attached)

Solution is (x,y)=(3,4)