0.3x+0.5y=0.5 and 0.5x+0.7y=0.74
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0.3+0.5=0.5
0.5+0.7=0.74
The value for x and y is solved using elimination method.
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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
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