Maths-
General
Easy

Question

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

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 = -0. 5 ; y = -2


    Ans :- x = -0. 5 ; y = -2
    Explanation :-
    y = 2x - 1— eq 1
    2x  +  3y =  -7—- eq 2
    Step 1 :- find x by substituting y  = 2x - 1 in eq 2.
    2x + 3(2x - 1)  =  -7  ⇒  2x + 6x – 3 =  -7
    ⇒  8x = 3 -7 ⇒  8x = -4
    ⇒ x = -0.5
    Step 2 :- substitute value of x and find y
    ⇒  y =  2x -  1 ⇒   y = 2 (-0.5) -1
    ⇒ y  = -1 - 1
    ∴   y = -2
    ∴ x= -0.5 and y = -2 is the solution of the given pair of equations.

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