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If 2x + 3y = 7, then which of the following is an expression for y in (September 2023 - G01)

Updated on 05/14/2024

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

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