Maths-
General
Easy

Question

Use Substitution to solve each system of equations :
Y = 6-X
4X - 3Y = -4

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=2 and y =4 is the solution of the given pair of equations.


    Ans :- x = 2 : y = 4
    Explanation :-
    y space equals space 6 minus x                    — eq 1
    4 x minus 3 y space equals negative 4          —- eq 2
    Step 1 :- find x by substituting y equals 6 minus x in eq 2.
    4 x minus 3 left parenthesis 6 minus x right parenthesis equals negative 4 not stretchy rightwards double arrow 4 x plus 3 x minus 18 equals negative 4
    not stretchy rightwards double arrow 7 x equals 18 minus 4 not stretchy rightwards double arrow 7 x equals 14
    not stretchy rightwards double arrow x equals 2
    Step 2 :- substitute value of x and find y
    not stretchy rightwards double arrow y equals 6 minus x not stretchy rightwards double arrow y equals 6 minus 2
    therefore y equals 4
    x = 2 and y = 4 is the solution of the given pair of equations.

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