Question
Use Substitution to solve each system of equations :
X = 3Y - 4
2X - 3Y = -2
Hint:
find y by substituting x (in terms of y) in the equation and find x by substituting value of y in the equations.
The correct answer is: x=2 and y =2 is the solution of the given pair of equations.
Ans :- x = 2; y = 2
Explanation :
x = 3y - 4 — eq 1
2x - 3y = -2 —- eq 2
Step 1 :- find y by substituting x = 3y - 4 in eq 2.
2 (3y - 4) - 3y = -2 ⇒ 6y - 8 - 3y = -2
⇒3y = 8 - 2 ⇒ 3y = 6
⇒y = 2
Step 2 :- substitute value of y and find x
⇒x = 3y - 4⇒ x = 3 (2) - 4 ⇒ x = 6 - 4
∴ x = 2
∴ x = 2 and y = 2 is the solution of the given pair of equations.
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