[tex]x=5 \\ \\ y=2[/tex]
Explanation:
A parallelogram is a quadrilateral having two pairs of parallel sides. In this case we have the parallelogram DEFG so the pair of parallel side are:
[tex]DE \ and \ FG \\ \\ \\ EF \ and \ GD[/tex]
The attached file shows the representation of this problem. Since this is a parallelogram, then:
[tex]\overline{HE}=\overline{GH} \\ \\ 5y+1=3x-4 \\ \\ 3x-5y=5 \\ \\ \overline{DH}=\overline{HF} \\ \\ x+1=3y \\ \\ x-3y=-1[/tex]
Solving by graphing tools, we get:
[tex]x=5 \\ \\ y=2[/tex]
As indicated in the figure shown below.
Parallelogram: https://brainly.com/question/9773214
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