Solving for y in a Linear Equation
We are given the equation $4x - 3y = 9$ and the value $x = 6$. We need to find the corresponding value of $y$.
Substitution Step
Substitute the given value of $x$ into the equation:
$4(6) - 3y = 9$
Equation Simplification
Simplify the equation:
$24 - 3y = 9$
Isolating the y Term
Subtract 24 from both sides to isolate the term containing $y$:
$ -3y = 9 - 24 $
$ -3y = -15 $
Calculating the Value of y
Divide both sides by -3 to solve for $y$:
$ y = \frac{-15}{-3} $
$ y = 5 $
Final Answer
The value of $y$ is 5.
Similar Questions
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Important Questions from Linear Equation in 1 Variable
The sum of three fractions A, B, and C, A > B > C, is \(\frac{121}{60}\) . When C is divided by B, the resulting fraction is \(\frac{9}{10}\) , which exceeds A by \(\frac{3}{20}\) . What is the difference between B and C?
7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
If the measure of one angle of a right triangle is 30° more than the measure of the smallest angle, then the measure of the smallest angle is:
A man has equal number of five, ten and twenty rupee notes amounting to Rs. 385. Find the total number of notes?
The sum of three consecutive number is 126. Find the highest number?
