Maths-
General
Easy

Question

Solve the following by using the method of substitution
Y= 5X-1
Y=fraction numerator 11 minus 3 X over denominator 2 end fraction

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 ; y = 4


    Ans :-  x = 1 ; y = 4
    Explanation :-
    ⇒ y =  5x - 1 — eq 1
    not stretchy rightwards double arrow y equals fraction numerator 11 minus 3 x over denominator 2 end fraction minus eq 2
    Step 1 :- find x by substituting  y = 5x -1 in eq 2.
    5 x minus 1 equals fraction numerator 11 minus 3 x over denominator 2 end fraction not stretchy rightwards double arrow 10 x minus 2 equals 11 minus 3 x
    ⇒  10x + 3x = 11 + 2 ⇒ 13x = 13
    ⇒ x =1
    Step 2 :- substitute value of x and find y
    ⇒  y =  5x – 1 ⇒ y = 5  (1) -1
    ∴  y =  4
    ∴  x = 1 and y = 4  is the solution of the given pair of equations.

    Related Questions to study

    General
    Maths-

    Find the value of x for which the ray OC will be an angle bisector of ∠𝑃𝑂𝐷.

    Find the value of x for which the ray OC will be an angle bisector of ∠𝑃𝑂𝐷.

    Maths-General
    General
    Maths-

    A Store cells packages of comic books with a poster.
    a) Write a linear function in the form y= mx + b that represents the cost , y, of a package containing any number of comic books ,x.
    b) Suppose another store sells a similar package , modelled by a linear function with initial value $ 7.99 . Which store has the better deal? Explain.

    A Store cells packages of comic books with a poster.
    a) Write a linear function in the form y= mx + b that represents the cost , y, of a package containing any number of comic books ,x.
    b) Suppose another store sells a similar package , modelled by a linear function with initial value $ 7.99 . Which store has the better deal? Explain.

    Maths-General
    General
    Maths-

    Ray OP bisects a straight angle ∠𝐴𝑂𝐵. Find 𝑚∠𝐴𝑂𝑃.

    Ray OP bisects a straight angle ∠𝐴𝑂𝐵. Find 𝑚∠𝐴𝑂𝑃.

    Maths-General
    parallel
    General
    Maths-

    Solve the following by substitution method :
    X-2Y= -4
    5X-3Y=1

    Solve the following by substitution method :
    X-2Y= -4
    5X-3Y=1

    Maths-General
    General
    Maths-

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑄 if 𝑚∠𝑃𝑂𝑅 = 42°.

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑄 if 𝑚∠𝑃𝑂𝑅 = 42°.

    Maths-General
    General
    Maths-

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.

    Maths-General
    parallel
    General
    Maths-

    Find: a) QR
    b) 𝑚∠𝑃𝑄𝑇