In the equation 2x+3y=11, if x=1, what is the value of y?
Understand the Problem
The question requires us to solve for the value of 'y' in the equation 2x + 3y = 11, given that x = 1. We need to substitute the value of x into the equation and then solve for y. This is a straightforward algebra problem.
Answer
(B) 3
Answer for screen readers
(B) 3
Steps to Solve
- Substitute the value of $x$ into the equation
Given the equation $2x + 3y = 11$ and $x = 1$, substitute $x = 1$ into the equation:
$2(1) + 3y = 11$
- Simplify the equation
Simplify the equation by performing the multiplication:
$2 + 3y = 11$
- Isolate the term with $y$
Subtract 2 from both sides of the equation to isolate the term with $y$:
$3y = 11 - 2$ $3y = 9$
- Solve for $y$
Divide both sides of the equation by 3 to solve for $y$:
$y = \frac{9}{3}$ $y = 3$
(B) 3
More Information
The solution to the linear equation $2x + 3y = 11$ when $x=1$ is $y=3$. This means the point $(1, 3)$ lies on the line represented by the given equation.
Tips
A common mistake is to perform the arithmetic operations in the wrong order. For example, adding 3 to 2 before subtracting 2 from 11. Also, some people fail to correctly divide in the last step.
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