Question

Knowing the properties of a parallelogram solve for the value of y.

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Answer 1

Find x first

• Opposite sides of parallelogram are equal

`\\ \tt\hookrightarrow 9x-15=5x-3`

`\\ \tt\hookrightarrow 9x-5x=-3+15`

`\\ \tt\hookrightarrow 4x=12`

`\\ \tt\hookrightarrow x=3`

Now

`\\ \tt\hookrightarrow 3x-4=4y-2`

`\\ \tt\hookrightarrow 3(3)-4=4y-2`

`\\ \tt\hookrightarrow 9-4=4y-2`

`\\ \tt\hookrightarrow 4y-2=5`

`\\ \tt\hookrightarrow 4y=7`

`\\ \tt\hookrightarrow y=7/4`