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Iteru [2.4K]
3 years ago
11

21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,

Mathematics
1 answer:
Ymorist [56]3 years ago
5 0

Answer: 48

Step-by-step explanation:

We have to write a system of equations:

The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.

y-x =29

If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)

The result will be one

2y-5x =1

Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:

2y -2x = 58

-

2y-5x =1

__________

3x =57

Solve for x:

x =57/3 =19

Replacing the value of x on any equation:

y-x =29

y-19 =29

y = 29+19 = 48

48 (y)> 19(x)

Feel free to ask for more if needed or if you did not understand something.  

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Answer:

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Step-by-step explanation:

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We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.

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3 years ago
In the figure below, if BE is the perpendicular bisector of AD, what is the value of x?
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Both sides would be the same, so set them to equal ans solve for x.


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4 0
3 years ago
PLEASE HELP!! I need this completed ASAP but I don't understand any of it!! It's due very soon!
lidiya [134]

Answer:

Step-by-step explanation:

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6 0
2 years ago
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atroni [7]
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4 0
3 years ago
Read 2 more answers
What’s the equation for the order pairs (1,-5) and (-2,5)
liq [111]

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})\qquad
(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-5)}{-2-1}\implies \cfrac{5+5}{-2-1}\implies \cfrac{10}{-3}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-(-5)=-\cfrac{10}{3}(x-1)\implies y+5=-\cfrac{10}{3}x+\cfrac{10}{3}
\\\\\\
y=-\cfrac{10}{3}x+\cfrac{10}{3}-5\implies y=-\cfrac{10}{3}x-\cfrac{5}{3}

6 0
3 years ago
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