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gavmur [86]
2 years ago
5

D(-3+x)=kx+9 solve for x

Mathematics
1 answer:
Gnesinka [82]2 years ago
5 0

d(-3 + x) = kx + 9

  • Distribute d inside the parentheses.

-3d + dx = kx + 9

  • Subtract kx from both sides.

-3d + dx - kx = 9

  • Add 3d to both sides.

dx - kx = 9 + 3d

  • Factor x out of dx - kx.

x(d - k) = 9 + 3d

  • Divide both sides by d - k.

x = \frac{9+3d}{d-k}

  • If you want to simplify this even more, factor 3 out of the numerator.
<h3>x = \frac{3(d + 3)}{d-k}</h3>
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There are no equations to choose from but it should look like the following.

a= # of adult tickets
s= # of student tickets

QUANTITY EQUATION
a + s= 560

COST EQUATION
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***If you have to also solve for the number of adults and students, here are the steps.

STEP 1:
multiply quantity equation by -8

-8(a + s)= -8(560)
-8a - 8s= -4480

STEP 2:
add cost equation and step 1 equation

$8a + $3s= $2905
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STEP 3:
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subtract 315 from both sides
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ANSWER:
Quantity Equation
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Cost Equation
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