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Alexeev081 [22]
4 years ago
10

Write the following equation in slope-intercept form: 4x – 5y = 15.

Mathematics
1 answer:
mylen [45]4 years ago
8 0

Answer:

y = (4/5)x - 3

Step-by-step explanation:

slope intercept form: y = mx + b

Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:

4x - 5y = 15

4x (-4x) - 5y = 15 (-4x)

-5y = -4x + 15

Next, divide -5 from both sides:

(-5y)/-5 = (-4x + 15)/-5

y = (-4x + 15)/-5

Simplify Divide -5 from all terms within the parenthesis:

y = (4/5)x - 3

y = (4/5)x - 3 is your answer.

~

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Answer:

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Step-by-step explanation:

Line ZW and YX are parallel, which means they have the same measurements.

Therefore:

3x+2=20

subtract two from both sides

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divide by 3

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hope this helps =D

5 0
3 years ago
The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
Vinvika [58]
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6 0
3 years ago
The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 45 more than the original num
Crank

Answer:

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

x +y = 11                                   Sum of the digits = 11

10x + y + 45 = 10y + x             Reversed number is 45 more  than original #

10x - x + y + 45 = 10y              We subtracted x from both sides.

9x + y + 45 = 10y                    Subtract y from both sides.

9x + 45 = 10y - y                     Combine the right

9x + 45 = 9y

Put x +  y = 11 into the equation just found.

9x + 45 = 9(11 - x)                     divide through by 9

x + 45/9 = 11 - x                        add x to both sides

2x + 5 =     11                            Subtract 5 from both sides

2x = 11 - 5

2x = 6                                       Divide by 2

x = 6/2

x = 3

x + y = 11

3 + y = 11        

y = 11 - 3

y = 8

Now check it out.

the original number is 38

the new number is 83 which the digits are reversed.

83 - 38 = 45 just as it should.  

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3 years ago
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Answer:

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