Question

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question is in the image
" A RATIONAL NUMBER IS SUCH THAT WHEN YOU MULTIPLY IT BY 2/3 AND SUBTRACT 4/3 FROM THE PRODUCT YOU WILL GET -4/5 WHAT IS THE NUMBER ​

Answer 1

Answer:let the rational number be p/q

according to the question,

( p/q ×3/7 ) - 4/7 = -4/7

p/q × 3/7 = -4/7 - 4/7

= -8/7

p/q = -8/7 × 7/3

= -8/3

the rational number is -8/3

Step-by-step explanation:

Answer 2

let x be the rational number

according to question,

x* 5/2 + 2/3 = -7/2

x * (15 + 4)/6 = -7/2. ( by taking LCM of 2 & 3 we get 6 as denominator)

x* 19 /6 = -7/2

x =$\frac{ - 7}{2}$$\times$$\frac{6}{19}x$=

2

−7

×

19

6

x = $\frac{ - 21}{19}$x=

19

−21

so rational number = -21/19