Maths-
General
Easy

Question

Solve the equation 4 + (3x-1)/2 = 9 . Explain the reasons why you choose your solution method .

hintHint:

An equation in which highest power of any variable is always 1 is known as a Linear equation.
We will simplify the given equation and find the value of x by using transpose method i.e. using inverse of all the operations performed on the given variable x on both the sides to reduce the given equation in its simplest form.

The correct answer is: Value of x for the given equation is 11/3 or 3.67


    Step-by-step solution:-
    4 + fraction numerator left parenthesis 3 x space minus 1 right parenthesis over denominator 2 end fraction = 9
    fraction numerator left parenthesis 3 x space minus space 1 right parenthesis over denominator 2 end fraction= 9 - 4 ….................................... (Taking all the constants on the same side)
    fraction numerator left parenthesis 3 x space minus space 1 right parenthesis over denominator 2 end fraction = 5
    ∴ (3x - 1) = 5 cross times 2 ….................................... (Multiplying both sides by 2)
    ∴ 3x - 1 = 10
    ∴ 3x = 10 + 1 .................................... (Taking all the constants on the same side)
    ∴ 3x = 11
    ∴ x = 11 over 3....................................... (Dividing both sides by 3)
    ∴ x = 3.67
    We use the transpose method because the given equation is a linear equation in 1 variable and to get the same in its simplest form, we just need to reverse the operations performed on x on both the sides of the equation.
    Final Answer:-
    ∴ Value of x for the given equation is 11/3 or 3.67.

    Related Questions to study

    General
    Maths-

    Identify domain and range of each function. Is it a function?

    Identify domain and range of each function. Is it a function?

    Maths-General
    General
    Maths-

    AB and DC are parallel sides of trapezium ABCD and ∠ADC= 90o. Given AB= 15 cm, CD = 40 cm and the diagonal AC= 41 cm. Calculate the area of the trapezium ABCD?

    AB and DC are parallel sides of trapezium ABCD and ∠ADC= 90o. Given AB= 15 cm, CD = 40 cm and the diagonal AC= 41 cm. Calculate the area of the trapezium ABCD?

    Maths-General
    General
    Maths-

    One equation in a system of equations is 5X-2Y = -4
    a) Write the second equation in the system of equations that would produce a graph with parallel lines.
    b) Write the second equation in the system of equations that would produce a graph with one line.

    One equation in a system of equations is 5X-2Y = -4
    a) Write the second equation in the system of equations that would produce a graph with parallel lines.
    b) Write the second equation in the system of equations that would produce a graph with one line.

    Maths-General
    parallel
    General
    Maths-

    For the given relation, find domain and range. Does it represent a function?
    {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}

    For the given relation, find domain and range. Does it represent a function?
    {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}

    Maths-General
    General
    Maths-

    What is the value of X in the equation 2(x+4)/3 – 8 = 32

    What is the value of X in the equation 2(x+4)/3 – 8 = 32

    Maths-General
    General
    Maths-

    Margaret has a monthly clothes budget of $50. She maps the amount of money she spends each month to the number of items of clothing she buys. What constraints are there on the domain?

    Margaret has a monthly clothes budget of $50. She maps the amount of money she spends each month to the number of items of clothing she buys. What constraints are there on the domain?

    Maths-General
    parallel
    General
    Maths-

    The shortest distance AD from a point A to a straight line BC is 12 cm and B and C are 15 cm and 20 cm distance from A on opposite sides of AD. Prove that angle BAC is a right angle.

    The shortest distance AD from a point A to a straight line BC is 12 cm and B and C are 15 cm and 20 cm distance from A on opposite sides of AD. Prove that angle BAC is a right angle.

    Maths-General
    General
    Maths-

    Solve the following system of equations graphically:
    X-Y=2
    2X-3Y-3=0

    Solve the following system of equations graphically:
    X-Y=2
    2X-3Y-3=0

    Maths-General
    General
    Maths-

    Is the given relation from the set X to the set Y a function? If so, is it one-to-one?

    Is the given relation from the set X to the set Y a function? If so, is it one-to-one?

    Maths-General
    parallel
    General
    Maths-

    Solve the pair of equations graphically :
    2X+Y=6
    3Y= 8+4x

    Solve the pair of equations graphically :
    2X+Y=6
    3Y= 8+4x

    Maths-General
    General
    Maths-

    A ladder 13 m long rests against the vertical wall. If the foot of the ladder is 5m from the foot of the wall. Find the distance of the other end of the ladder from the ground?

    A ladder 13 m long rests against the vertical wall. If the foot of the ladder is 5m from the foot of the wall. Find the distance of the other end of the ladder from the ground?

    Maths-General
    General
    Maths-

    Solve the pair of equations graphically : x/2+y/3=2 , 2Y-3X=0

    Solve the pair of equations graphically : x/2+y/3=2 , 2Y-3X=0

    Maths-General
    parallel
    General
    Maths-

    Identify domain and range of each function.

    Identify domain and range of each function.

    Maths-General
    General
    Maths-

    The altitude AD of a triangle ABC is 12 cm long .If BD= 8 cm , DC= 18 cm . Prove that the angle BAC is a right angle.

    The altitude AD of a triangle ABC is 12 cm long .If BD= 8 cm , DC= 18 cm . Prove that the angle BAC is a right angle.

    Maths-General
    General
    Maths-

    Solve the pair of equations graphically :
    2X-3Y+4=0
    Y+1=3x

    Solve the pair of equations graphically :
    2X-3Y+4=0
    Y+1=3x

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.