Question
Solve the following by using the method of substitution
Y = X
7X + 3Y = 10
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 = 1 and y = 1 is the solution of the given pair of equations
Ans :- x = 1 ; y = 1
Explanation :-
⇒ y = x — eq 1
7x + 3y = 10 —- eq 2
Step 1 :- find x by ubstituting y = x in eq 2.
7x + 3(x) = 10 ⇒ 7x + 3x = 10
⇒ 10x = 10
⇒ x = 1
Step 2 :- substitute value of x and find y
⇒ y = x ⇒ y = 1
∴ y = 1
∴ x = 1 and y = 1 is the solution of the given pair of equations.
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