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  • 01-03-2019
  • Mathematics
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1. Algebra Find the values for x and y in ABCD.
AE = 4x, EC = 5y – 2, DE = 2x, EB = y + 14
PLEASE HELP!!

1 Algebra Find the values for x and y in ABCD AE 4x EC 5y 2 DE 2x EB y 14 PLEASE HELP class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 10-03-2019

ANSWER

x=12, y=10

EXPLANATION

The diagonals of a parallelogram bisect each other.

This implies that;

AE=EC

[tex]4x = 5y - 2[/tex]

[tex]4x - 5y = - 2...(1)[/tex]

Also, DE=EB;

[tex]2x = y + 14[/tex]

[tex]y =2x - 14...(2)[/tex]

Put equation (2) in (1).

[tex]4x - 5(2x - 14) = - 2[/tex]

Expand;

[tex]4x - 10x + 70 = - 2[/tex]

[tex] - 6x = - 72[/tex]

[tex]x = 12[/tex]

Put x=2, into equation (2).

[tex]y = 2(12) - 14[/tex]

[tex]y = 10[/tex]

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