>
Exams
>
Quantitative Aptitude
>
Linear Equations
>
if frac x 2 4 frac 7 2 then x
Question:
If \( \frac{x}{2} + 4 = \frac{7}{2} \), then \( x \) = ?
Show Hint
When solving equations, always perform the same operation on both sides to maintain equality.
BHU PET - 2019
BHU PET
Updated On:
Mar 25, 2025
-2
-1
1
2
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Given equation: \[ \frac{x}{2} + 4 = \frac{7}{2} \] Step 1: Subtract 4 from both sides: \[ \frac{x}{2} = \frac{7}{2} - 4 \] Convert 4 into a fraction: \[ \frac{x}{2} = \frac{7}{2} - \frac{8}{2} = \frac{-1}{2} \] Step 2: Multiply both sides by 2: \[ x = -1 \]
Thus, the correct answer is -1.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Linear Equations
If the system of linear equations:
\[ x + y + 2z = 6, \] \[ 2x + 3y + az = a + 1, \] \[ -x - 3y + bz = 2b, \] where \( a, b \in \mathbb{R} \), has infinitely many solutions, then \( 7a + 3b \) is equal to:
JEE Main - 2025
Mathematics
Linear Equations
View Solution
Nimra went to a bank to withdraw ₹2,000. She asked the cashier to give her ₹50 and ₹100 notes only and she got 30 notes in all. How many notes of ₹50 and ₹100 respectively that she received?
AP POLYCET - 2024
Mathematics
Linear Equations
View Solution
Consider the system of linear equations
x + y + z = 5,
x + 2y + λ
2
z = 9,
x + 3y + λz = μ,
where λ, μ ∈ ℝ.Then, which of the following statement is
NOT
correct?
JEE Main - 2024
Mathematics
Linear Equations
View Solution
The sum of two numbers is 18, and the sum of their reciprocals is $\frac{1}{4}$. Find the numbers.
CBSE Class X - 2024
Mathematics
Linear Equations
View Solution
Solve the following system of equations by the method of reduction:
\[ x + y + z = 6, \quad y + 3z = 11, \quad x + z = 2y. \]
MH Board Class XII - 2024
Mathematics
Linear Equations
View Solution
View More Questions
Questions Asked in BHU PET exam
In how many ways can the letters of the word 'PERMUTATIONS' be arranged if vowels are together?
BHU PET - 2019
Permutations and Combinations
View Solution
The number of diagonals that can be drawn by joining the vertices of an octagon is:
BHU PET - 2019
Geometry
View Solution
In a group of children, each child gives a gift to every other. If the number of gifts is 132, then the number of children is:
BHU PET - 2019
Permutations and Combinations
View Solution
A boat goes 16 km upstream and 24 km downstream in 6 hours. It can go 12 km upstream and 36 km downstream in the same time. The speed of the boat in still water is:
BHU PET - 2019
Speed Time and Distance
View Solution
A 90 kg solution has 10% salt. How much water must be evaporated to have the solution with 20% salt?
BHU PET - 2019
Mixtures and Allegations
View Solution
View More Questions