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Delicious77 [7]
2 years ago
11

Solve the following simultaneous equations 5x+7y = 17 ; 7x+5y = 19​

Mathematics
1 answer:
adell [148]2 years ago
3 0

Answer:

x=2.\ y=1

Step-by-step explanation:

We\ are\ given\ the\ following\ pair\ of\ equations:\\5x+7y=17\\7x+5y=19\\Now,\\As\ the\ co-efficients\ of\ none\ of\ the\ algebraic\ terms\ match,\\We\ can\ take\ the\ LCM\ of\ their\ co-efficients;\\As\ the\ co-efficients\ of\ the\ x-terms\ are\ 5,7\ respectively;\\Their\ LCM\ is\ 35.

Hence,\\7(5x+7y)=7(17)\\-5(7x+5y)=-5(19)\\Hence,\\35x+49y=119\\-35x-25y=-95\\Hence,\\Adding\ the\ two\ equations\ we\ have:\\(35x+49y)+(-35x-25y)=(119)+(-95)\\(35x-35x)+(49y-25y)=119-95\\24y=24\\y=\frac{24}{24}=1

Now,\\Lets\ consider\ the\ First\ Equation:\\5x+7y=17\\Substituting\ y=1,\\5x+7*1=17\\5x+7=17\\5x=17-7\\5x=10\\x=\frac{10}{5}=2\\\\Together,\\x=2.\ y=1

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Answer:

x=5 twice

Step-by-step explanation:

x^2-10x+25=0

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1X25=25

find two numbers you can multiply to get 25 and add to get -10

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replace -10x with -5x -5x and solve the equation

x^2-5x-5x+25=0

factorise by grouping

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Therefore x=5 twice.

5 0
3 years ago
Write 375 as a product of it's Prime Factors
coldgirl [10]

Answer:

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Step-by-step explanation:

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3 years ago
The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a heig
Rina8888 [55]

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25 seconds

Step-by-step explanation:

Skydiving.  

height (in feet) above the earth=h(t)= -16t^2 + 10,000

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6 0
3 years ago
0 2. What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
photoshop1234 [79]

Answer:

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Step-by-step explanation:

Area=length*width

Area= 14*6.5

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In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.
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​

6 0
3 years ago
Read 2 more answers
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