If I were you, I would select the first equation to put in y=mx+b form so that you can substitute it in to the second one. What you do is you subtract the x from the left side and bring it over to the right and then you divide everything by 5. The y=mx+b equation is y=-1/5x-7. Then, you substitute this equation into the bottom one so you are now working only with x's. You should distribute and combine like terms. When you distribute and clean it up, at the end you should get 18/5x-14=8. You then add 14 to get 22 on the right side and then multiply that by the reciprocal of the fraction. When you multiply 22 by 5/18, you should get a reduced fraction of 55/9. You then substitute this value into either equation to get the y-value. You should get a y-value of -260/45. Your answer as an ordered pair should be (55/9,-260/45).
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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Answer:
the perimeter is the same on both, because the number are the same
<span>6x−2(x+4)=12
6x - 2x - 8 = 12
4x = 20
x = 5</span>
1st worker produced x pants,
2nd worker produced (x+8) pants.
x+x+8=86
2x=78
x= 39
x+8 = 39+8 = 47
1st worker produced 39 pants,
2nd worker produced 47 pants.