Maths-

General

Easy

Question

# Solve the following by using the method of substitution

X = 4Y+1

2Y - 3X = - 23

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 = 9 ; y = 2

### Ans :- x = 9 ; y = 2

Explanation

⇒ x = 4y +1 — eq 1

2y- 3x = -23—- eq 2

Step 1 :- find y by x = 4y + 1 in eq 2.

2y -3 (4y + 1 ) = -23 ⇒ 2y - 12y - 3 = -23

⇒ -10y = 3 -23 ⇒ -10y = -20

⇒ y = 2

Step 2 :- substitute value of y and find x

⇒ x = 4y + 1⇒ x = 4 (2) +1

⇒ x = 8+1

∴ x = 9

∴ x = 9 and y =2 is the solution of the given pair of equations.

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