Maths-
General
Easy
Question
What is the value of x in 6X-5 = 2 (3X+4)
Hint:
An equation with variables on both sides of the "equal to" sign i.e. on LHS and RHS can be solved by first simplifying both the sides (Opening up the brackets, addition, subtraction, i.e. if any) and then all the variables are taken on 1 side of the equation and all the constants i.e. numbers on the other side. Both sides are then simplified further and the solution is obtained
The correct answer is: The given system of equations have no solution.
Step-by-step solution:-
6x - 5 = 2 (3x + 4)
∴ 6x - 5 = (2 × 3x) + (2 × 4) ..................... [Distributive property- a (m + n) = am + an]
∴ 6x - 5 = 6x + 8
∴ 6x - 6x = 8 + 5 …....................... (Taking all variables and constants on either sides of the equation)
∴ 0 = 13
Since, after simplifying the given equation, the variable gets eliminated and LHS ≠ RHS, the given set of equations have no solution. i.e. for no value of x, the given equation will be satisfied.
Final Answer:-
∴ The given system of equations have no solution.
Related Questions to study
Maths-
Describe the process used to solve an equation with two radical expressions. How is this process different from solving an equation with only one radical expression
Describe the process used to solve an equation with two radical expressions. How is this process different from solving an equation with only one radical expression
Maths-General
Maths-
What is the value of x in 4X+6= 2(2X+3)
What is the value of x in 4X+6= 2(2X+3)
Maths-General
Maths-
Solve 
- 4 = 3x
Solve - 4 = 3x
Maths-General
Maths-
5/8(16d+24) = 6 (d-1)+1
5/8(16d+24) = 6 (d-1)+1
Maths-General
Maths-
Solve (-3k + 4)= -2 - 6k
Solve (-3k + 4)= -2 - 6k
Maths-General
Maths-
Solve : 100 (Z-0.2) = -10( 5Z+0.8)
Solve : 100 (Z-0.2) = -10( 5Z+0.8)
Maths-General
Maths-
Maths-General
Maths-
Find the value of n in the equation shown :
(n-4)/2 - 7 = -2n+6
Find the value of n in the equation shown :
(n-4)/2 - 7 = -2n+6
Maths-General
Maths-
What is the value of X in the equation shown :
3x-10+4x= -2(x-4)+9
What is the value of X in the equation shown :
3x-10+4x= -2(x-4)+9
Maths-General
Maths-
Solve 16(4 - 3m) = 96(
+ 1)
Solve 16(4 - 3m) = 96( + 1)
Maths-General
Maths-
Maths-General
Maths-
Solve 6w - 33 = 3(4w - 5)
Solve 6w - 33 = 3(4w - 5)
Maths-General
Maths-
Solve : 5(n - 7) = 2(n + 14)
Solve : 5(n - 7) = 2(n + 14)
Maths-General
Maths-
Solve 5r - 7 = 2r + 14
Solve 5r - 7 = 2r + 14
Maths-General
General
Which word rhymes with one ?
Which word rhymes with one ?
GeneralGeneral
