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Zanzabum
3 years ago
12

PLZ HELP Solve the equations for x. 1)ax+bx=13 2)ax+5=cx 3)ax+b=dx−1

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Hello there!


ax + bx = 13

We want to start by factorizing out the variable x

x(a + b) = 13

Then divide both sides by a+b

x( a + b)/a + b = 13/a+b

x = \frac{13}{a+b\\}


2)

ax + 5 = cx

Should start by adding -cx on both sides

ax + 5 - cx = cx - cx

ax + 5 - cx = 0

ax - cx = 0 - 5

ax - cx = -5

Then again, we need to factor out x because there's two of them

x( a - c) = -5

Then divide both sides by a-c

x(a - c)/ a - c = -5/a - c

x = \frac{-5}{a-c}


3)

ax + b = dx - 1

Start by adding -dx on both sides

ax + b - dx = dx - 1 - dx

ax - dx + b = -1

ax - dx = -1 - b

Here we go again, factor out x

x( a - d) = -b - 1

x = \frac{-b-1}{a-d}


I hope these answers help. As always, it is my pleasure to help students like you. Let me know if you have additional questions.

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What is the product?(4y − 3)(2y2 + 3y − 5)8y3 + 3y + 158y3 − 23y + 158y3 − 6y2 − 17y + 158y3 + 6y2 − 29y + 15
motikmotik

We need to find the product of :

\mleft(4y-3\mright)\mleft(2y2+3y-5\mright)

So, the result as following:

\begin{gathered} \mleft(4y-3\mright)\mleft(2y^2+3y-5\mright) \\ =4y\cdot(2y^2+3y-5)-3\cdot(2y^2+3y-5) \\ =8y^3+12y^2-20y-(6y^2+9y-15) \\ =8y^3+12y^2-20y-6y^2-9y+15 \\  \\ =8y^3+6y^2-29y+15 \end{gathered}

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1 year ago
A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.9
Wewaii [24]
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a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
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total cost=925000
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total number tickets=20000
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we have

39.95b+54.95a=925000
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multiply second equation by -39.95 and add to first equatin
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a=8400

sub back
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minus 8400 both sides
b=11600




11,600 tickets sold before
8400 tickets sold after
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