Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)

Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
<u><em>≡ Solution:</em></u>
<em>⇔ To make it easier:</em>
⇒ ²¹/₂₅ × ⁴/₄
⇒ ⁸⁴/₁₀₀
<u>⇒ 0,84</u>
Answer: (x,y)=(-22/69 , 2/23)
Y=6x+2
3x+12y=6x+2
Simplify the expression
-6x+y=2
-3x+12y=2
Multiply both sides of the equation by
-6x+y=2
6x-24y=-4
eliminate at least one variable by adding the equation
-23y=-2
Divide both sides
y=2/23
Substitute the value of y
-6x +2/23 =2
Solve the equation
x=-22/69
The possible solution of the system is the ordered pair
(x,y)=(-22/69, 2/23)
Check the solution
2/23=3x(-22/69)+12x 2/23=6x(-22/69)+2
Simplify
2/23=2/23=2/23
The ordered pair is a solution
Solution
(x,y)=(-22/69 , 2/23)