Maths-
General
Easy

Question

Solve: x + 2y = 16 , 3x - 4y + 12 = 0 by using substitution method.

hintHint:

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

The correct answer is: x = 4 ; y = 6


    Ans :- x = 4 ; y = 6
    Explanation :-
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x plus 2 y equals 16 not stretchy rightwards double arrow x equals 16 minus 2 y minus text  eq  end text 1 end cell row cell 3 x minus 4 y plus 12 equals 0 minus text  eq  end text 2 end cell end table
    Step 1 :- find x by substituting x = 16-2y in eq 2.
    3 left parenthesis 16 minus 2 y right parenthesis minus 4 y plus 12 equals 0 not stretchy rightwards double arrow 48 minus 6 y minus 4 y plus 12 equals 0
    not stretchy rightwards double arrow 60 minus 10 y equals 0 not stretchy rightwards double arrow 10 y equals 60
     rightwards double arrow y space equals space 6
    Step 2 :- substitute value of y and find x
    x equals 16 minus 2 y not stretchy rightwards double arrow x equals 16 minus 2 left parenthesis 6 right parenthesis
    not stretchy rightwards double arrow x equals 16 minus 12 not stretchy rightwards double arrow x equals 4
     therefore space x space equals space 4
    therefore space x space equals space 4 and y = 6 is the solution of the given pair of  equations.

    Related Questions to study

    General
    Maths-

    Solve: fraction numerator 5 over denominator x plus y end fraction minus fraction numerator 2 over denominator x minus y end fraction equals negative 1 and fraction numerator 15 over denominator x plus y end fraction plus fraction numerator 7 over denominator x minus y end fraction equals 10

    Solve: fraction numerator 5 over denominator x plus y end fraction minus fraction numerator 2 over denominator x minus y end fraction equals negative 1 and fraction numerator 15 over denominator x plus y end fraction plus fraction numerator 7 over denominator x minus y end fraction equals 10

    Maths-General
    General
    Maths-

    Solve the pair of linear equations,x minus y equals 2 text  and  end text x plus y equals 2 Also find p if p = 2x + 3

    Solve the pair of linear equations,x minus y equals 2 text  and  end text x plus y equals 2 Also find p if p = 2x + 3

    Maths-General
    General
    Maths-

    Solve: 2 x plus y equals 1 semicolon 3 x minus 4 y equals 18 by using substitution method.

    Solve: 2 x plus y equals 1 semicolon 3 x minus 4 y equals 18 by using substitution method.

    Maths-General
    parallel
    General
    Maths-

    Solve: 3x + y = 8; 5x + y = 10 by using elimination method.

    Solve: 3x + y = 8; 5x + y = 10 by using elimination method.

    Maths-General
    General
    Maths-

    Solve 2 x plus 3 y equals 11 and 2 x minus 4 y equals negative 24 by using elimination method.

    Solve 2 x plus 3 y equals 11 and 2 x minus 4 y equals negative 24 by using elimination method.

    Maths-General
    General
    Maths-

    Solve by using elimination method: fraction numerator 2 x minus 3 over denominator 4 end fraction minus fraction numerator 2 x minus 1 over denominator 3 end fraction equals 1

    Solve by using elimination method: fraction numerator 2 x minus 3 over denominator 4 end fraction minus fraction numerator 2 x minus 1 over denominator 3 end fraction equals 1

    Maths-General
    parallel
    General
    Maths-

    Solve by using elimination method. fraction numerator 3 x over denominator 5 end fraction minus 2 over 3 equals fraction numerator 2 x over denominator 3 end fraction plus 1 fourth.

    Solve by using elimination method. fraction numerator 3 x over denominator 5 end fraction minus 2 over 3 equals fraction numerator 2 x over denominator 3 end fraction plus 1 fourth.

    Maths-General
    General
    Maths-

    Solve the following equation by balancing on both sides: b) 6n+7= 3n+25

    Solve the following equation by balancing on both sides: b) 6n+7= 3n+25

    Maths-General
    General
    Maths-

    Solve the following equation by balancing on both sides: a) 5m+9 = 4m + 23

    Solve the following equation by balancing on both sides: a) 5m+9 = 4m + 23

    Maths-General
    parallel
    General
    Maths-

    Solve: fraction numerator 7 x plus 1 over denominator 4 end fraction equals 2 x minus 1

    Solve: fraction numerator 7 x plus 1 over denominator 4 end fraction equals 2 x minus 1

    Maths-General
    General
    Maths-

    table attributes columnspacing 1em end attributes row cell left parenthesis x plus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 40 end cell row cell y equals negative 2 x plus 4 end cell end table
    Which of the following could be the x-coordinate of a solution to the system of equations above?

    Note:
    If we had to find the y-coordinate of the system of equations, then we put this value of x in the equation y equals negative 2 x plus 4 to get the value of y. Here, we got a quadratic equation of x, which did not have any term containing x, so it was easier to solve. If the quadratic equation was of the form  a x squared plus b c plus c equals 0, then we would use the quadratic formula  x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction to solve the equation.

    table attributes columnspacing 1em end attributes row cell left parenthesis x plus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 40 end cell row cell y equals negative 2 x plus 4 end cell end table
    Which of the following could be the x-coordinate of a solution to the system of equations above?

    Maths-General

    Note:
    If we had to find the y-coordinate of the system of equations, then we put this value of x in the equation y equals negative 2 x plus 4 to get the value of y. Here, we got a quadratic equation of x, which did not have any term containing x, so it was easier to solve. If the quadratic equation was of the form  a x squared plus b c plus c equals 0, then we would use the quadratic formula  x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction to solve the equation.

    General
    Maths-

    Solve the equation and check your result 6(3m + 2) – 2(6m – 1) = 3(m – 8) – 6(7m – 6) +9m

    Solve the equation and check your result 6(3m + 2) – 2(6m – 1) = 3(m – 8) – 6(7m – 6) +9m

    Maths-General
    parallel
    General
    Maths-

    Solve and check your answer: 3x – 2(2x – 5) = 2(x + 3) – 8

    Solve and check your answer: 3x – 2(2x – 5) = 2(x + 3) – 8

    Maths-General
    General
    Maths-

    Solve: 16 = 4 + 3(x + 2)

    Solve: 16 = 4 + 3(x + 2)

    Maths-General
    General
    Maths-


    The graph of the function f is shown in the xy-plane above, where y =f left parenthesis x right parenthesis . Which of the following functions could define f ?

    Note:
    We need to know properties about factors, multiplicity, leading co-efficients and turning points to find out the function from a graph.


    The graph of the function f is shown in the xy-plane above, where y =f left parenthesis x right parenthesis . Which of the following functions could define f ?

    Maths-General

    Note:
    We need to know properties about factors, multiplicity, leading co-efficients and turning points to find out the function from a graph.

    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.