The problem asks us to find the value of the variable y given a linear equation and the value of the variable x.
Solving the Linear Equation
We are given the equation:
$2x + 3y = 23$
And we know that:
$x = 4$
Substituting the Value of x
To find y, we substitute the value of x (which is 4) into the given equation:
$2(4) + 3y = 23$
Calculating the Value of y
Now, we simplify and solve for y:
- Multiply 2 by 4:
$8 + 3y = 23$
- Subtract 8 from both sides of the equation to isolate the term with y:
$3y = 23 - 8$
$3y = 15$
- Divide both sides by 3 to find the value of y:
$y = \frac{15}{3}$
$y = 5$
Therefore, the value of y is 5.
Similar Questions
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Important Questions from Linear Equation in 2 Variable
The sum of two numbers m and n is 84 (m > n) and their difference is 6. What is the ratio of the two numbers?
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter was to cost Rs. 1 lesser, then the total cost would remain unchanged. How long is the piece of cloth?
A. 10 m
B. 14 m
C. 12 m
D. 8 m
What historic achievement did Manu Bhaker accomplish at the 2024 Paris Olympics?
The sum of a two digit number and the number formed by interchanging its digit is 132. If nine is subtracted from the first number, the new number is 3 more than 6 times of the sum of the digits in the first number. Find the first number.
Which of the following options is the solution of the given equation:-
2x - 4y = 16
A. (8, -1)
B. (5, -5)
C. (6, -1)
D. (9, 2)
