Maths-
General
Easy

Question

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y

hintHint:

Use the method of substitution.

The correct answer is: x=15 and y=9


    Complete step by step solution:
    In the substitution method, we need to work only on one equation, instead of
    two equations.
    We need only a few steps to solve since we have only 1 equation.

    Let x = 6 + y…(i)

    and 48 = 2x + 2y….(ii)
    On substituting (i) in (ii), we get

                                          48 = 2(6 + y) + 2y

                                         ⇒ 48 = 12 + 2y + 2y

                                          ⇒ 48 = 12 + 4y

                                          ⇒ 48 -12 = 4y

                                         ⇒ 36 = 4y

                                         ⇒4y =36

                                          ⇒ y = 9
    On substituting the value of y in (i), we get

                                            x = 6 + 9

                                            ⇒ x = 15
    Hence we get x = 15 and y = 9

    Related Questions to study

    General
    Maths-

    A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
    Describe the relationship between the two variables ?
    Sketch the graph.

    A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
    Describe the relationship between the two variables ?
    Sketch the graph.

    Maths-General
    General
    Maths-

    Identify congruent segments.
    𝑋𝑌 = 2.1 𝑐𝑚, 𝐴𝐵 = 4 𝑐𝑚, 𝑌𝑍 = 4 𝑐𝑚, 𝑃𝑄 = 2.1 𝑐𝑚

    Identify congruent segments.
    𝑋𝑌 = 2.1 𝑐𝑚, 𝐴𝐵 = 4 𝑐𝑚, 𝑌𝑍 = 4 𝑐𝑚, 𝑃𝑄 = 2.1 𝑐𝑚

    Maths-General
    General
    Maths-

    Solve Each system : Explain your choice of Solution method
    2X - 3Y = 14
    5X + 4Y = 12

    Solve Each system : Explain your choice of Solution method
    2X - 3Y = 14
    5X + 4Y = 12

    Maths-General
    parallel
    General
    Maths-

    The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.

    The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.

    Maths-General
    General
    Maths-

    Solve System of equations using Substitution :
    Y = 2X-1
    2X  +3 Y =  -7

    Solve System of equations using Substitution :
    Y = 2X-1
    2X  +3 Y =  -7

    Maths-General
    General
    Maths-

    Find the distance between the coffee shop and the school.

    Find the distance between the coffee shop and the school.

    Maths-General
    parallel
    General
    Maths-

    Solve Each system : Explain your choice of Solution method
    5X - 2Y = - 6
    3X - 4Y = - 26

    Solve Each system : Explain your choice of Solution method
    5X - 2Y = - 6
    3X - 4Y = - 26

    Maths-General
    General
    Maths-

    Solve Each system : Explain your choice of Solution method
    8X - 4Y = - 4
    X= Y - 4

    Solve Each system : Explain your choice of Solution method
    8X - 4Y = - 4
    X= Y - 4

    Maths-General
    General
    Maths-

    Hari rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes and then continues in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Hari’s distance from home over time ?

    Hari rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes and then continues in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Hari’s distance from home over time ?

    Maths-General
    parallel
    General
    Maths-

    Solve Each system : Explain your choice of Solution method .
    6X - 5Y= - 1
    6X + 4Y= - 10

    Solve Each system : Explain your choice of Solution method .
    6X - 5Y= - 1
    6X + 4Y= - 10

    Maths-General
    General
    Maths-

    Solve System of equations using Substitution :
    X = Y  + 6
    X + Y = 10

    Solve System of equations using Substitution :
    X = Y  + 6
    X + Y = 10

    Maths-General
    General
    Maths-

    At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?

    At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?

    Maths-General
    parallel
    General
    Maths-

    Bose is practicing Javelin throws. What is the relationship between the height of the javelin and time ? What would the graph of this function look like?

    H = 1 over 8 g T2, where H is maximum height and T is time of the flight.

    Bose is practicing Javelin throws. What is the relationship between the height of the javelin and time ? What would the graph of this function look like?

    Maths-General

    H = 1 over 8 g T2, where H is maximum height and T is time of the flight.

    General
    Maths-

    Nate starts a lawn – mowing business. In his business he has expenses and revenue. Nate’s expenses are the cost of the lawn mower and gas and his revenue is $25 per lawn. At What point will Nate’s revenue exceed his expenses?

    Nate starts a lawn – mowing business. In his business he has expenses and revenue. Nate’s expenses are the cost of the lawn mower and gas and his revenue is $25 per lawn. At What point will Nate’s revenue exceed his expenses?

    Maths-General
    General
    Maths-

    Find the value of x if the vertical lines of the letter H are parallel.

    Find the value of x if the vertical lines of the letter H are parallel.

    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.