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If x = a + b and y = a + 2b, then what is a − b, in terms of x and y ?
- a)2y − 3x
- b)3y − 2x
- c)2x − 3y
- d)2x + 3y
- e)3x − 2y
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
If x = a + b and y = a + 2b, then what is a − b, in terms of x a...
To find the value of "a," we need to solve the given equations for "a."
From the equation x = a * b, we can rearrange it to solve for "a":
a = x/b
Similarly, from the equation y = a * 2b, we can rearrange it to solve for "a":
a = y/(2b)
Since both equations represent the value of "a," we can equate them:
x/b = y/(2b)
Cross-multiplying:
2bx = by
Dividing both sides by b:
2x = y
Finally, rearranging the equation to solve for "a":
a = y/(2b)
Therefore, the value of "a" is y/(2b).
From the equation x = a * b, we can rearrange it to solve for "a":
a = x/b
Similarly, from the equation y = a * 2b, we can rearrange it to solve for "a":
a = y/(2b)
Since both equations represent the value of "a," we can equate them:
x/b = y/(2b)
Cross-multiplying:
2bx = by
Dividing both sides by b:
2x = y
Finally, rearranging the equation to solve for "a":
a = y/(2b)
Therefore, the value of "a" is y/(2b).
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