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Inessa [10]
3 years ago
9

Solve the following equations for x. Show the step by step process.

Mathematics
1 answer:
kherson [118]3 years ago
6 0
1. 3x - 19 = 2
        +19    +19
           3x = 21
           ÷3   ÷3
          x= 7
2. 4x + 12x = 6² + 4(11)
            16x = 36 + 44
            16x = 80
           ÷16   ÷16
             x= 5
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The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length
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<span><span>L * W = 300 sq ft
</span><span> Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>

<span>
<span> Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>

 length = 30 feet, width = 10 feet

<span> Check: 30*10 = 300</span>


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