Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
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<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
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The answer & explanation for this question is given in the attachment below.
Step-by-step explanation:
2w+6w=80
w=10
l=30
Explanation:
A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.
For example we have <span>y=5x−8</span> and we can substitute this value of y in the other equation
<span>4x+3y=33</span>
<span>4x+3<span>(5x−8)</span>=33</span> we can solve now for x
<span>4x+15x−24=33</span>
<span>19x=33+24</span>
<span>19x=57</span>
<span>x=<span>5719</span>=3</span>.
y can be obtained from the first equation
<span>y=5x−8</span>
<span>y=5⋅3−8=15−8=7</span>
Then <span>x=3</span> and <span>y=7</span>.
