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If 73тАЛ=тИТ35xтАЛ, then x is:
5
5
15
15
5
Observe the denominators: 7 becomes -35 by multiplying by -5. Therefore, multiply the numerator 3 by -5 to maintain the equivalent fraction.
The equation is given as 3/7 = x / -35.
baтАЛ=dcтАЛтЯ╣a├Чd=b├Чc
Observe the denominators: 7 becomes -35 by multiplying by -5. Therefore, multiply the numerator 3 by -5 to maintain the equivalent fraction.
Forgetting the negative sign in -35, leading to a positive result like 15 instead of -15.
Set up the proportion
To solve for x, we cross-multiply the terms in the equation 73тАЛ=тИТ35xтАЛ.
3├Ч(тИТ35)=7├Чx
Calculate the product
Perform the multiplication on the left side: 3├Ч(тИТ35)=тИТ105.
тИТ105=7x
Solve for x
Divide both sides by 7 to isolate x: x=7тИТ105тАЛ.
x=тИТ15
D is correct because by cross-multiplying 73тАЛ=тИТ35xтАЛ, we get 7x=тИТ105, which results in x=тИТ15.
This concept of equivalent fractions is fundamental for ratio and proportion problems and unit conversion tasks in competitive exams.
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