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Sedbober [7]
2 years ago
12

Ax -c=bx+d solve for x

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

Answer:

x = \dfrac{c + d}{a - b}

Step-by-step explanation:

ax - c = bx + d

ax - bx = c + d

x(a - b) = c + d

x = \dfrac{c + d}{a - b}

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Two planes just took off from Charlotte NC. The first plane is traveling 1.5 times as fast as the second plane. After traveling
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Givens

Slower plane

r = r

t = 2.5 hours

d = d

Faster Plane

r_faster = 1.5 * r

t = 2.5 hours

d1 = d + 127.5

The  time is the same for both

t = d/r

d1/r1 = d/r

(d+ 127.5)/1.5r = d/r   Multiply each side by r

(d + 127.5)/1.5 = d       Multiply both sides by 1.5

d + 127.5 = 1.5d          Subtract d from both sides.

127.5 = 1.5d - d    

127.5 = 0.5d              Divide by 0.5

127.5 / 0.5 = d

255 = d

Now you can go back and figure out the rates.

First find d1

d1 = d + 127.5

d1 = 255 + 127.5

d1 = 382.5

<em><u>Rate of the slower plane</u></em>

d = 255

t = 2.5 hours

r = d/t

r = 255/2.5

r = 102 miles per hour.

<em><u>Faster plane</u></em>

d1 = 382.5 miles

t = 2.5 hours

r1 = d/t

r1 = 382.5/2.5 = 153 miles per hour.


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