Maths-
General
Easy
Question
Solve System of equations using Substitution :
X + Y = 175
20X + 16Y = 3,101
Hint:
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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