The equation for y is y = [tex]-\frac{2x}{5}+\frac{12}{5}[/tex]. The given equation is solved for y by applying simple operations like subtraction and division.
How to isolate a variable?
To isolate a variable in an equation,
- Add/subtract the terms from the equation to bring the required variable to one side.
- Divide or multiply the coefficient of the required variable on both sides.
- Simplify the terms if possible.
Solving the given equation for y:
The equation is 2x + 5y =12
Step 1: Subtract 2x from both the sides
⇒ 2x + 5y -2x = 12 - 2x
⇒ 5y = -2x + 12
Step 2: Dividing by 5 on both sides
⇒ 5y/5 = -2x/5 + 12/5
⇒ y = -2x/5 + 12/5
Therefore, the equation is y = -2x/5 + 12/5.
Learn more about the solving for other variables in an equation here:
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