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Easy

Question

Solve System of equations using Substitution :
X + Y = 175
20X + 16Y = 3,101

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 = 75.25 ; y = 99.75


    Ans :- x = 75.25 ; y = 99.75
    Explanation :-
    y  + x = 175 ⇒  y = 175 - x— eq 1
    20x + 16y = 3,101—- eq 2
    Step 1 :- find x by y = 175 - x in eq 2.
    20x + 16(175 - x) = 3,101 ⇒ 20x - 16x + 2800 = 3,101
    ⇒  4x = 3101 - 2800  ⇒ 4x = 301
    ⇒ x  = 75.25
    Step 2 :- substitute value of x and find y
    ⇒ y = 175 - 75.25 ⇒  y  = 99.75
    ∴  y = 99.75
    ∴   x = 75.25 and  y  = 99.75is the solution of the given pair of equations.

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