SAT Exam > SAT Questions > 3x + b = 5x − 73y + c = 5y − 7In ...
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3x + b = 5x − 7
3y + c = 5y − 7
In the equations above, b and c are constants. If b is c minus 1/2, which of the following is true?
3y + c = 5y − 7
In the equations above, b and c are constants. If b is c minus 1/2, which of the following is true?
- a)x is y minus 1/4.
- b)x is y minus 1/2.
- c)x is y minus 1.
- d)x is y plus 1/2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
3x + b = 5x − 73y + c = 5y − 7In the equations above, b an...
To solve for x, we need to isolate the variable on one side of the equation.
To do this, we can start by subtracting 3x from both sides of the equation:
3x - 3x + b = 5x - 3x
This simplifies to:
b = 2x
Now, we can divide both sides of the equation by 2 to solve for x:
b/2 = 2x/2
This simplifies to:
x = b/2
Therefore, the solution is x = b/2.
To do this, we can start by subtracting 3x from both sides of the equation:
3x - 3x + b = 5x - 3x
This simplifies to:
b = 2x
Now, we can divide both sides of the equation by 2 to solve for x:
b/2 = 2x/2
This simplifies to:
x = b/2
Therefore, the solution is x = b/2.
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Community Answer
3x + b = 5x − 73y + c = 5y − 7In the equations above, b an...
Choice A is correct. Subtracting the sides of 3y + c = 5y − 7 from the corresponding sides of 3x + b = 5x − 7 gives (3x − 3y) + (b − c) = (5x − 5y). Since b = c − 1/2 , or b − c = − 1/2 , it follows that (3x − 3y) + 
= (5x − 5y). Solving this equation for x in terms of y gives x = y − 1/4 . Therefore, x is y minus 1/4 .
Choices B, C, and D are incorrect and may be the result of making a computational error when solving the equations for x in terms of y.
= (5x − 5y). Solving this equation for x in terms of y gives x = y − 1/4 . Therefore, x is y minus 1/4 .Choices B, C, and D are incorrect and may be the result of making a computational error when solving the equations for x in terms of y.
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3x + b = 5x − 73y + c = 5y − 7In the equations above, b and c are constants. If b is c minus 1/2, which of the following is true?a)x is y minus 1/4.b)x is y minus 1/2.c)x is y minus 1.d)x is y plus 1/2Correct answer is option 'A'. Can you explain this answer?
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