Section: Math 0 Likes
If 2x + 3y = 7, then which of the following is an expression for y in (September 2023 - G01)
If 2x + 3y = 7, then which of the following is an expression for y in terms of x?
F. (-2x + 7)/3
G. (2x-7)/3
H. -6x + 21
J. -2x + 7/3
K. 2/3 x-7
Solution
Correct answer: F. (-2x + 7)/3.
To express y in terms of x, we need to isolate y on one side of the equation.
Here's how we can do it:
Start with the equation: 2x + 3y = 7
Get all the terms with y on one side:
Subtract 2x from both sides: (2x + 3y) - 2x = 7 - 2x This simplifies to: 3y = 7 - 2x
Isolate y by dividing both sides by its coefficient (which is 3 in this case):
y = (7 - 2x) / 3
Therefore, the expression for y in terms of x is: (7 - 2x) / 3
Comparing this with the answer choices, we see that the correct answer is:
F. (-2x + 7)/3
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Linear Equations, Isolating a Variable