Maths-
General
Easy

Question

Solve the following by using the method of substitution
Y = X
7X + 3Y = 10

hintHint:

find x by substituting y (in terms of x) in the equation and find y by substituting value of  x in the equations  .

The correct answer is: x = 1 and y = 1 is the solution of the given pair of equations


    Ans :-  x = 1 ; y = 1
    Explanation :-
    ⇒  y = x — eq 1
    7x + 3y  = 10 —- eq 2
    Step 1 :- find x by ubstituting  y = x in eq 2.
    7x  + 3(x)  = 10  ⇒  7x + 3x = 10
    ⇒  10x  = 10
    ⇒  x  = 1
    Step 2 :- substitute value of x and find y
    ⇒  y = x ⇒  y = 1
    ∴  y = 1
    ∴  x = 1 and y = 1  is the solution of the given pair of equations.

    Related Questions to study

    General
    Maths-

    Bhargavi is looking at a graph that shows a line drawn between two points with a slope of -5. One of the point is smudged and she cannot read it. The point as far as she can tell are (3,5)(X,10). What must the value of X be? Explain.

    Bhargavi is looking at a graph that shows a line drawn between two points with a slope of -5. One of the point is smudged and she cannot read it. The point as far as she can tell are (3,5)(X,10). What must the value of X be? Explain.

    Maths-General
    General
    Maths-

    A piece of paper is folded randomly as shown in the figure.
    Find the value of x + y.

    A piece of paper is folded randomly as shown in the figure.
    Find the value of x + y.

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    4X - 2Y = - 2
    3X + 2Y = - 12

    Solve the system of equations by elimination :
    4X - 2Y = - 2
    3X + 2Y = - 12

    Maths-General
    parallel
    General
    Maths-

    How can you use a function to represent a linear relationship?

    How can you use a function to represent a linear relationship?

    Maths-General
    General
    Maths-

    The graph shows the relationship between the number of pages printed by a printer and the warm up time before each printing. What function in the form Y = mx + b represents this relationship?

    The graph shows the relationship between the number of pages printed by a printer and the warm up time before each printing. What function in the form Y = mx + b represents this relationship?

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    Y = X
    4X + 3Y = 7

    Solve the following by using the method of substitution
    Y = X
    4X + 3Y = 7

    Maths-General
    parallel
    General
    Maths-

    At a hot air balloon festival. Mohamed's balloon is at an altitude of 40m and rises 10m/min  Dana's balloon is at an altitude of 165m and descends 15m/min.
    b) What will be the altitude?

    At a hot air balloon festival. Mohamed's balloon is at an altitude of 40m and rises 10m/min  Dana's balloon is at an altitude of 165m and descends 15m/min.
    b) What will be the altitude?

    Maths-General
    General
    Maths-

    A roadway line and a pedestrian bridge overpass best describe 
    the _____.

    A roadway line and a pedestrian bridge overpass best describe 
    the _____.

    Maths-General
    General
    Maths-

    The sum of 5 times the width of a rectangle and twice its length is 26 units. The Difference of 15times the width and three times the length is 6
    units . Write and Solve a system of equations to find the length and width of the rectangle.

    The sum of 5 times the width of a rectangle and twice its length is 26 units. The Difference of 15times the width and three times the length is 6
    units . Write and Solve a system of equations to find the length and width of the rectangle.

    Maths-General
    parallel
    General
    Maths-

    The Graph shows the relationship of the height of a burning candle over time. What function represents the relationship ?

    The Graph shows the relationship of the height of a burning candle over time. What function represents the relationship ?

    Maths-General
    General
    Maths-

    At a hot air balloon festival. Mohamed's balloon is at an altitude of 40m and rises 10m/min  Dana's balloon is at an altitude of 165m and descends 15m/min.
    a) In how many minutes will both balloons be at the same altitude?

    The speed unit is the meter per minute, denoted by the symbol [m/min]. For example, 1 meter per minute is 1 m / 60 s. The rate at which the body moves one meter in one minute. A meter per minute is a smaller unit than a meter per second.
    On the clock, there are three hands hours, the minute, and the second hand. The shortest hand of the clock represents the hour, the middle hand represents the minute, and the most extended hand represents the second. Therefore, minutes can be calculated by multiplying the number it points to by five.
    The meter is the standard unit of length measurement (SI) in the International System of Units. It has the symbol "m" and is one of the SI system's seven base units.

    At a hot air balloon festival. Mohamed's balloon is at an altitude of 40m and rises 10m/min  Dana's balloon is at an altitude of 165m and descends 15m/min.
    a) In how many minutes will both balloons be at the same altitude?

    Maths-General

    The speed unit is the meter per minute, denoted by the symbol [m/min]. For example, 1 meter per minute is 1 m / 60 s. The rate at which the body moves one meter in one minute. A meter per minute is a smaller unit than a meter per second.
    On the clock, there are three hands hours, the minute, and the second hand. The shortest hand of the clock represents the hour, the middle hand represents the minute, and the most extended hand represents the second. Therefore, minutes can be calculated by multiplying the number it points to by five.
    The meter is the standard unit of length measurement (SI) in the International System of Units. It has the symbol "m" and is one of the SI system's seven base units.

    General
    Maths-

    Solve the following by using the method of substitution
    Y = X-1
    3X + 2Y = 8

    Solve the following by using the method of substitution
    Y = X-1
    3X + 2Y = 8

    Maths-General
    parallel
    General
    Maths-

    Jin is tracking how much food he feeds his dogs each week . After 2 weeks , he has used 8.5 cups of dog food. After 5 weeks , he has used 21.25 cups. Construct a function in the form y = mx + b to represent the amount of dog food used , y , after x weeks .

    Jin is tracking how much food he feeds his dogs each week . After 2 weeks , he has used 8.5 cups of dog food. After 5 weeks , he has used 21.25 cups. Construct a function in the form y = mx + b to represent the amount of dog food used , y , after x weeks .

    Maths-General
    General
    Maths-

    In the given parallelogram, the sum of the adjacent angles P
    and Q is ___.

    In the given parallelogram, the sum of the adjacent angles P
    and Q is ___.

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    7X - 4Y = - 12
    X - 2Y = 4

    Solve the system of equations by elimination :
    7X - 4Y = - 12
    X - 2Y = 4

    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.