Answer:
x = -6/11
Step-by-step explanation:
-6(-4x + 3) = 2(10x + 3)
-6 * -4x = -24x
-6 * 3 = -18
2 * 10x = 20x
2 * 3 = 6
-24x - 18 = 20x + 6
-20x -20x
-44x - 18 = 6
+18 +18
-44x = 24
------- ------
-44 -44
24/-44 = -24/44
-24/44 = -6/22
x = -6/11
4¹ = 4
4² = 16
4³ = 64
4⁴ = 256
(4⁵ = 1,024 too big)
See below for the proof of the equation
<h3>How to prove the equation?</h3>
The equation is given as:

Take the LCM

Expand

Evaluate the like terms

Rewrite as:

Factorize the numerator

Divide
2(a - b)= 2(a - b)
Both sides are equal
Hence, the equation
has been proved
Read more about equations at:
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Answer:
- Length of rectangle is 31 yards and Width is 24 yards.
Given:
- The length of a rectangle is 7 more than the width.
- The area is 744 sqaure yards
Solution:
Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.
Using formula

On Substituting the required values, we get;

As we know that width of the rectangle can't be negative. So x = 24
<u>Hence</u>,
- Width of rectangle = x = 24 yards
- Length of the rectangle = x + 7 = 31 yards
Length of rectangle is 31 yards<u> </u>and Width is 24 yards.