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USPshnik [31]
3 years ago
14

When the equation a – bx = cx + d is solved for x, the result is x = .

Mathematics
2 answers:
pav-90 [236]3 years ago
8 0

The <em><u>correct answer</u></em> is:

x=6/7.

Explanation:

First we find the general form by solving for x:

a-bx = cx+d

Subtract a from each side:

a-bx-a = cx+d-a

-bx = cx+d-a

Subtract cx from each side:

-bx-cx = cx+d-a

-bx-cx = d-a

We can divide both sides by -1:

(-bx-cx)/-1 = (d-a)/-1

bx+cx = -d+a

bx+cx = a-d

Factor out an x on the left:

x(b+c) = a-d

Divide both sides by (b+c):

(x(b+c))/(b+c) = (a-d)/(b+c)

x = (a-d)/(b+c)

In this equation, a = 5, b = 6, c = 8 and d = 17:

x = (5-17)/(6+8) = -12/14

This simplifies to -6/7.

Karo-lina-s [1.5K]3 years ago
3 0

Answer: the correct answer is

-6/7

Step-by-step explanation:

The other guy put positive six that’s incorrect

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The expression 12g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5
makvit [3.9K]

Answer:

66 km

Step-by-step explanation:

Given that

Number of km's traveled by a car using g liters of gasoline  = 12g

Number of gallons of gas required to travel 12g kilometers = g

We have to find

How far this car can travel using 5 \frac{1}{2} or 5.5 liters of gasoline = x= ?

Now we can find this by substituting g= 5 \frac{1}{2} in the the above equation representing number of kilometers traveled by the car.

Number of km's traveled by a car using 5 \frac{1}{2} liters of gasoline = 12 (5 \frac{1}{2})

x = 12 (5.5)

x= 66 km

So, the car travels 66km in 5.5 liters of gasoline




5 0
3 years ago
Read 2 more answers
Suppose Borman earned $148,000 last year. She calculates her self-employment tax by multiplying
Semenov [28]

Answer:

Yes Borman is correct.

Step-by-step explanation:

Borman moved the decimal point 2 spaces to the left which gave her 0.153

Then she multiplied that by $148,000 to get 15.3% of it which would give her $22,644 so therefore, she is correct.

6 0
3 years ago
What is 2,617 rounded to the nearest ten
Dmitry [639]
The answer would be 2,6 .
5 0
3 years ago
Ok can someone help me now
olga_2 [115]
8x - 11y =78
2x - 2y = 12

8x - 11y = 78
-8x +8y = -48

-3y = 30

y= -10

2x + 20= 12

2x= -8

x= -4

(-4, -10)
3 0
4 years ago
Solve the system:<br>2x-5y=7<br>3x-2y=-17
alexandr402 [8]
\begin{cases}2x-5y=7 \ \ /*3 \\ 3x-2y=-17\ \ / *(-2) \end{cases}\\ \\\begin{cases}6x-15y=21 \\ -6x+4y= 34 \end{cases}\\+ \ ------- \\-11y=55 \ \ / :(-11)\\ \\y=-\frac{55}{11}

y=-5 \\ \\ 2x-5y=7\\ \\2x-5*(-5)=7\\ \\2x+25=7\\ \\2x=7-25

2x=-18\ \ /:2 \\ \\ x=-\frac{18}{2} \\ \\x=-9 \\ \\\begin{cases} x=-9 \\ y=-5 \end{cases}


8 0
4 years ago
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