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yanalaym [24]
3 years ago
7

How to solve 5x+8y=14 And 4x=24 by substitution

Mathematics
1 answer:
Virty [35]3 years ago
3 0
5x+8y=14 \\ 4x=24 \\ \\ \hbox{solve the 2nd equation for x:} \\ 4x=24 \\
x=6 \\ \\
\hbox{substitute 6 for x in the 1st equation:} \\
5 \times 6+8y=14 \\
30+8y=14 \\
8y=14-30 \\
8y=-16 \\
y=-2 \\ \\ \hbox{the answer:} \\ x=6 \\ y=-2
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Yikes I think 3 or 6
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3 years ago
The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
DaniilM [7]

Answer:

The equation x = y-8

The equation  (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

                           (y-8) y = 240

                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

<u>Final answer</u>:-

The first number x = 12 and second number y =20

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hope this helps

have a good day :)

Step-by-step explanation:

8 0
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Step-by-step explanation:

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Integrate t sec^2 (2t) dt
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F = t ⇨ df = dt 
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⇔ 
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As integral of tan u = - ln (cos (u)), you get : 

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