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Question 500682: Y=10x/ 7-x
Answer by lowtek(4)   (Show Source):
You can put this solution on YOUR website! Y=(10x)/(7)-x
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 7. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
Y=-x*(7)/(7)+(10x)/(7)
Multiply -x by 7 to get -7x.
Y=-(7x)/(7)+(10x)/(7)
Combine the numerators of all expressions that have common denominators.
Y=(-7x+10x)/(7)
According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, x is a factor of both -7x and 10x.
Y=((-7+10)x)/(7)
To add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value. In this example, subtract the absolute values of -7 and 10 and give the result the same sign as the integer with the greater absolute value.
Y=((3)x)/(7)
Remove the parentheses.
Y=(3x)/(7)
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