Question

0.3x + 0.5y =0.5
0.5x+0.7y = 0.7y​

Answer 1

Answer:

x=0.5

y=0.7

Step-by-step explanation:

0.5 x +0.7 y = 0.74 (i)

multiply 10 on both sides in (i)

=> 5x+7y=7.4

0.3 x + 0.5 y =0.5 (ii)

multiply 10 on both sides in (ii)

3 x + 5 y = 5

y=1-0.6x (from ii equation)

Now, Substitute value in equation i

5x+7y = 5x + 7(1-0.6x)=7.4

=>5x +7-4.2x =7.4

=>0.8x+ 7 = 7.4

=>x=0.5

Now substitute x value in any equation.

Let us take the second equation.

0.3x + 0.5y =0.5

(0.3×0.5)+0.5y= 0.5

0.3+y= 1

∴y=0.7

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Answer 2

Step-by-step explanation:

Given,

0.5x + 0.7y = 0.74

0.3x - 0.5y = 0.5

Now,

Multiply (1) and (2) by 100,

50x + 70y = 74

30x + 50y = 50

Now,

From (3) we have,

50x = 74 - 70y

x = (74 - 70y)/50

Here,

Putting value of x in (4),

30x + 50y = 50

30 (74 - 70y)/50 + 50y = 50

3(74 - 70y)/5 + 50y = 50

[(222 - 210y) + 250y]/5 = 50

[222 - 210y + 250y] = 50 × 5

40y = 250 - 222

40y = 28

y = 28/40

y = 7/10

y = 0.7

Now,

Substituting value of y in (5),

x = (74 - 70y)/50

x = (74 - 70 × 0.7)/50

x = (74 - 49)/50

x = 25/50

x = 5/10

x = 0.5

Therefore,

x = 0.5 and y = 0.7