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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

Sagot :

[tex]\\ \sf\longmapsto BD=38[/tex]

[tex]\\ \sf\longmapsto 2x+8y=38[/tex]

[tex]\\ \sf\longmapsto x+4y=19\dots(1)[/tex]

And

[tex]\\ \sf\longmapsto BC+CD=BD[/tex]

[tex]\\ \sf\longmapsto 5x+7+3y+4=38[/tex]

[tex]\\ \sf\longmapsto 5x+3y+11=38[/tex]

[tex]\\ \sf\longmapsto 5x+3y=27\dots(2)[/tex]

Lets go through graphical method(Attached)

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

View image Аноним
View image Аноним