Subtract 5 from both sides.

Subtract 8n from both sides.

Divide both sides by -9 to solve for n.

The value of n is
-4/9.
3(j+4)-9=9
3j + 12 -9 =9
3j +3 =9
3j =6
j=2
The equation to model the above scenario is
+22x - 23 = 0
The perimeter of the expanded rectangle is 48 units
<h3>What is a rectangle?</h3>
A rectangle is a quadrilateral with its 4 angles 90°
Analysis:
First rectangle:
length = 10 + x
width = x
Second rectangle:
length = x + 14
width = x + 8
Area of expanded rectangle = 135 square unit
(x+8)(x+14) = 135
+ 8x + 14x + 112 = 135
+ 8x + 14x -23 = 0
+ 22x -23 = 0
+ 23x - x - 23 = 0
(x-1)(x+23) = 0
Therefore x = 1
Expanded length = 1+14 = 15
Expanded width = 1+8 = 9
Perimeter = 2(9+15) = 48 units
Learn more about Rectangles: brainly.com/question/25292087
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For question 7 the answer is x=0.5
5x - 20y = 60...reduce by dividing by 5
x - 4y = 12
this is the same as the other equation....therefore, it is the same line...meaning infinite solutions
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y - 7x = -14
y = 7x - 14.....slope = 7, y int = -14
7y - 49x = -2
7y = 49x - 2
y = 7x - 2/7.....slope is 7, y int is -2/7
if the slopes are the same, but the y int are different, then u have a parallel lines with no solutions