Answer:
x = 14
y = 6
Step-by-step explanation:
*Property*
In a parallelogram:
Opposite sides are equal.
Since, the given figure is a parallelogram we can apply this property and equate:
- 1) 2y + 1 = 13
- 2) x = y + 8
1) 2y + 1 = 13
subtracting 1 from both sides:
=> 2y + 1 - 1 = 13 - 1
=> 2y = 12
dividing both sides by 2:
=> 2y/ 2 = 12/ 2
On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator
On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:
=> y = 6
2) x = y + 8
We've got the value of y from equation 1).
Substituting it here:
=> x = 6 + 8
=> x = 14
Answer:
Hence, we got the values of x and y as:
[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]
