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Studentka2010 [4]
3 years ago
11

5×=15+10y,3×+7y=31 it's for tomorrow pls​

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

x = 6.39, y = 1.69 is the solution of the given equation system.

Step-by-step explanation:

Here, the given set of equation is:

5 x = 15 + 10 y  ⇒ 5 x - 10 y = 15   ...... (1)

3 x +7 y = 31   ............. (2)

Now, the coefficient of x in first equation id 5 and in second  is 3.

So, MULTIPLY (1) with 3 and (2) with -5 , we get:

15 x - 30 y = 45

-15 x- 35 y = -155

<u>ADD BOTH EQUATIONS ,</u> we get:

15 x - 30 y  -15 x- 35 y = 45 - 155

or, -65 y  = -110

or, y = 110/65 = 1.69

Put y  = 1.69 in 3 x +7 y = 31 , we get:

3(x) +  7 (1.69) =31

⇒ 3 x = 19.17 or x = 6.39

Hence, x = 6.39, y = 1.69 is the solution of the given equation system

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