Answer:
[tex]x = 4[/tex]
[tex]y =1[/tex]
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
Either segment of a diagonal are equal; So, we have:
[tex]3x = 12[/tex]
[tex]x + y = 5y[/tex]
In [tex]3x = 12[/tex]
Divide both sides by 3
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]
[tex]4 + y = 5y[/tex]
Collect like terms
[tex]5y - y =4[/tex]
[tex]4y = 4[/tex]
Divide both sides by 4
[tex]y = \frac{4}{4}[/tex]
[tex]y =1[/tex]
