<span>6(x + 2) - x = 4(x + 4) + 7
Use distributive property
6x+12-x=4x+16+7
Subtract x from 6x
5x+12=4x+16+7
Add 7 to 16
5x+12=4x+23
Subtract 4x from both sides
x+12=23
Subtract 12 from both sides
Final Answer: x=11</span>
The possible values of x is x > 10
<h3>How to determine the possible values of x?</h3>
The dimension of the rectangle is given as:
Length = 6
Width = x + 2
The area is calculated as;
Area = Length * width
So, we have
Area = 6 * (x + 2)
The area is greater than 72
So, we have
6 * (x + 2) > 72
Divide by 6
x + 2 > 12
Subtract 2 from both sides
x > 10
Hence, the possible values of x is x > 10
Read more about rectangles at:
brainly.com/question/18019422
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J=john's age now
s=sam's age now
j=3 times s
j=3s
in five years (j+5,s+5)
j+5=2 times (5+s)
j+5=2(s+5)
j+5=2s+10
subtract 5 from both sides
j=2s+5
use other equation
j=3s
j=2s+5
subsitute
3s=2s+5
subtract 2s
s=5
sam=5
j=3s
j=3 times 5
j=15
john=15
sam=5
To solve for the x, distribute first the numerical coefficients to the terms on the parentheses. This becomes,
7x - 21 = 4x + 20
Transpose all the terms with x and the constant on either sides of the equation,
7x - 4x = 20 + 21
3x = 41 ; x = 41 / 3
Thus, the answer is x = 41/3 which is fourth among the choices.
