Question

If 4y-3x=5 what is the smallest integer value of x for which y>100?
Please Tell with explanation
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Answer 1

Since 4y - 3x = 5

=>4y = 5 + 3x

=>4y - 5 = 3x

=>3x = 4y - 5

if you look at the equation you will notice that x is directly proportional to y

therefore if we increase the value of y, x is also increases.

If the value of y is smallest then the x is also smallest.

Since y>100

therefore the smallest value of y = 101

therefore the equation is 3x = 4 X 101 - 5

=> 3x = 404 -5

=> x = 399/3

=> x = 133

Answer 2

Answer:

4y-3x=5

4y= 5+3x

y= (5+3x)/4

ATQ,

(5+3x)/4 > 100

5+3x>400

3x>395

x> 395/3

x> 131.67

As if, x is the smallest integer. so ans is 132.